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Finding the Third Proportional to 42,265.13 and 59,086.13

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Solution

The third proportional to 42,265.13 and 59,086.13 is: 82,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.13 : 59,086.13 = 59,086.13 : x
  2. Step 2: Convert to fraction form
    42,265.13/59,086.13 = 59,086.13/x
  3. Step 3: Cross multiply
    42,265.13x = 59,086.13 × 59,086.13
  4. Step 4: Simplify right side
    42,265.13x = 3,491,170,167.52
  5. Step 5: Solve for x
    x = 3,491,170,167.52/42,265.13
  6. Step 6: Final answer
    x = 82,601.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.