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Finding the Third Proportional to 103,505.63 and 155,776.50

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Solution

The third proportional to 103,505.63 and 155,776.50 is: 234,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,505.63 : 155,776.50 = 155,776.50 : x
  2. Step 2: Convert to fraction form
    103,505.63/155,776.50 = 155,776.50/x
  3. Step 3: Cross multiply
    103,505.63x = 155,776.50 × 155,776.50
  4. Step 4: Simplify right side
    103,505.63x = 24,266,317,952.25
  5. Step 5: Solve for x
    x = 24,266,317,952.25/103,505.63
  6. Step 6: Final answer
    x = 234,444.44

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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.