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Finding the Third Proportional to 42,265.13 and 59,089.50

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Solution

The third proportional to 42,265.13 and 59,089.50 is: 82,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.13 : 59,089.50 = 59,089.50 : x
  2. Step 2: Convert to fraction form
    42,265.13/59,089.50 = 59,089.50/x
  3. Step 3: Cross multiply
    42,265.13x = 59,089.50 × 59,089.50
  4. Step 4: Simplify right side
    42,265.13x = 3,491,569,010.25
  5. Step 5: Solve for x
    x = 3,491,569,010.25/42,265.13
  6. Step 6: Final answer
    x = 82,611.11

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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.