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Finding the Third Proportional to 103,810.50 and 155,715.75

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Solution

The third proportional to 103,810.50 and 155,715.75 is: 233,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,810.50 : 155,715.75 = 155,715.75 : x
  2. Step 2: Convert to fraction form
    103,810.50/155,715.75 = 155,715.75/x
  3. Step 3: Cross multiply
    103,810.50x = 155,715.75 × 155,715.75
  4. Step 4: Simplify right side
    103,810.50x = 24,247,394,798.06
  5. Step 5: Solve for x
    x = 24,247,394,798.06/103,810.50
  6. Step 6: Final answer
    x = 233,573.63

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.