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Finding the Third Proportional to 56,629 and 125,327

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Solution

The third proportional to 56,629 and 125,327 is: 277,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,629 : 125,327 = 125,327 : x
  2. Step 2: Convert to fraction form
    56,629/125,327 = 125,327/x
  3. Step 3: Cross multiply
    56,629x = 125,327 × 125,327
  4. Step 4: Simplify right side
    56,629x = 15,706,856,929
  5. Step 5: Solve for x
    x = 15,706,856,929/56,629
  6. Step 6: Final answer
    x = 277,364.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.