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Finding the Third Proportional to 61,466 and 125,188

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Solution

The third proportional to 61,466 and 125,188 is: 254,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,466 : 125,188 = 125,188 : x
  2. Step 2: Convert to fraction form
    61,466/125,188 = 125,188/x
  3. Step 3: Cross multiply
    61,466x = 125,188 × 125,188
  4. Step 4: Simplify right side
    61,466x = 15,672,035,344
  5. Step 5: Solve for x
    x = 15,672,035,344/61,466
  6. Step 6: Final answer
    x = 254,970.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.