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Finding the Third Proportional to 61,456 and 129,092

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Solution

The third proportional to 61,456 and 129,092 is: 271,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,456 : 129,092 = 129,092 : x
  2. Step 2: Convert to fraction form
    61,456/129,092 = 129,092/x
  3. Step 3: Cross multiply
    61,456x = 129,092 × 129,092
  4. Step 4: Simplify right side
    61,456x = 16,664,744,464
  5. Step 5: Solve for x
    x = 16,664,744,464/61,456
  6. Step 6: Final answer
    x = 271,165.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.