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Finding the Third Proportional to 42,245 and 59,060

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Solution

The third proportional to 42,245 and 59,060 is: 82,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,245 : 59,060 = 59,060 : x
  2. Step 2: Convert to fraction form
    42,245/59,060 = 59,060/x
  3. Step 3: Cross multiply
    42,245x = 59,060 × 59,060
  4. Step 4: Simplify right side
    42,245x = 3,488,083,600
  5. Step 5: Solve for x
    x = 3,488,083,600/42,245
  6. Step 6: Final answer
    x = 82,567.96

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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.