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Finding the Third Proportional to 61,456 and 132,254

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Solution

The third proportional to 61,456 and 132,254 is: 284,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,456 : 132,254 = 132,254 : x
  2. Step 2: Convert to fraction form
    61,456/132,254 = 132,254/x
  3. Step 3: Cross multiply
    61,456x = 132,254 × 132,254
  4. Step 4: Simplify right side
    61,456x = 17,491,120,516
  5. Step 5: Solve for x
    x = 17,491,120,516/61,456
  6. Step 6: Final answer
    x = 284,612.09

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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.