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Finding the Third Proportional to 65,069 and 88,387

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Solution

The third proportional to 65,069 and 88,387 is: 120,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,069 : 88,387 = 88,387 : x
  2. Step 2: Convert to fraction form
    65,069/88,387 = 88,387/x
  3. Step 3: Cross multiply
    65,069x = 88,387 × 88,387
  4. Step 4: Simplify right side
    65,069x = 7,812,261,769
  5. Step 5: Solve for x
    x = 7,812,261,769/65,069
  6. Step 6: Final answer
    x = 120,061.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.