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Finding the Third Proportional to 60,853 and 131,069

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Solution

The third proportional to 60,853 and 131,069 is: 282,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,853 : 131,069 = 131,069 : x
  2. Step 2: Convert to fraction form
    60,853/131,069 = 131,069/x
  3. Step 3: Cross multiply
    60,853x = 131,069 × 131,069
  4. Step 4: Simplify right side
    60,853x = 17,179,082,761
  5. Step 5: Solve for x
    x = 17,179,082,761/60,853
  6. Step 6: Final answer
    x = 282,304.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.