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Finding the Third Proportional to 42,394 and 62,871

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Solution

The third proportional to 42,394 and 62,871 is: 93,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,394 : 62,871 = 62,871 : x
  2. Step 2: Convert to fraction form
    42,394/62,871 = 62,871/x
  3. Step 3: Cross multiply
    42,394x = 62,871 × 62,871
  4. Step 4: Simplify right side
    42,394x = 3,952,762,641
  5. Step 5: Solve for x
    x = 3,952,762,641/42,394
  6. Step 6: Final answer
    x = 93,238.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.