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Finding the Third Proportional to 59,902.50 and 142,446

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Solution

The third proportional to 59,902.50 and 142,446 is: 338,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902.50 : 142,446 = 142,446 : x
  2. Step 2: Convert to fraction form
    59,902.50/142,446 = 142,446/x
  3. Step 3: Cross multiply
    59,902.50x = 142,446 × 142,446
  4. Step 4: Simplify right side
    59,902.50x = 20,290,862,916
  5. Step 5: Solve for x
    x = 20,290,862,916/59,902.50
  6. Step 6: Final answer
    x = 338,731.49

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.