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Finding the Third Proportional to 65,129 and 97,866

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Solution

The third proportional to 65,129 and 97,866 is: 147,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129 : 97,866 = 97,866 : x
  2. Step 2: Convert to fraction form
    65,129/97,866 = 97,866/x
  3. Step 3: Cross multiply
    65,129x = 97,866 × 97,866
  4. Step 4: Simplify right side
    65,129x = 9,577,753,956
  5. Step 5: Solve for x
    x = 9,577,753,956/65,129
  6. Step 6: Final answer
    x = 147,058.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.