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Finding the Third Proportional to 42,069 and 62,739

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Solution

The third proportional to 42,069 and 62,739 is: 93,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,069 : 62,739 = 62,739 : x
  2. Step 2: Convert to fraction form
    42,069/62,739 = 62,739/x
  3. Step 3: Cross multiply
    42,069x = 62,739 × 62,739
  4. Step 4: Simplify right side
    42,069x = 3,936,182,121
  5. Step 5: Solve for x
    x = 3,936,182,121/42,069
  6. Step 6: Final answer
    x = 93,564.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.