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Finding the Third Proportional to 125,417 and 267,843

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Solution

The third proportional to 125,417 and 267,843 is: 572,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,417 : 267,843 = 267,843 : x
  2. Step 2: Convert to fraction form
    125,417/267,843 = 267,843/x
  3. Step 3: Cross multiply
    125,417x = 267,843 × 267,843
  4. Step 4: Simplify right side
    125,417x = 71,739,872,649
  5. Step 5: Solve for x
    x = 71,739,872,649/125,417
  6. Step 6: Final answer
    x = 572,010.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.