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Finding the Third Proportional to 103,524.75 and 155,808

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Solution

The third proportional to 103,524.75 and 155,808 is: 234,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524.75 : 155,808 = 155,808 : x
  2. Step 2: Convert to fraction form
    103,524.75/155,808 = 155,808/x
  3. Step 3: Cross multiply
    103,524.75x = 155,808 × 155,808
  4. Step 4: Simplify right side
    103,524.75x = 24,276,132,864
  5. Step 5: Solve for x
    x = 24,276,132,864/103,524.75
  6. Step 6: Final answer
    x = 234,495.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.