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Finding the Third Proportional to 125,028 and 267,916

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Solution

The third proportional to 125,028 and 267,916 is: 574,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,028 : 267,916 = 267,916 : x
  2. Step 2: Convert to fraction form
    125,028/267,916 = 267,916/x
  3. Step 3: Cross multiply
    125,028x = 267,916 × 267,916
  4. Step 4: Simplify right side
    125,028x = 71,778,983,056
  5. Step 5: Solve for x
    x = 71,778,983,056/125,028
  6. Step 6: Final answer
    x = 574,103.27

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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.