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Finding the Third Proportional to 124,649 and 267,010

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Solution

The third proportional to 124,649 and 267,010 is: 571,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,649 : 267,010 = 267,010 : x
  2. Step 2: Convert to fraction form
    124,649/267,010 = 267,010/x
  3. Step 3: Cross multiply
    124,649x = 267,010 × 267,010
  4. Step 4: Simplify right side
    124,649x = 71,294,340,100
  5. Step 5: Solve for x
    x = 71,294,340,100/124,649
  6. Step 6: Final answer
    x = 571,960.79

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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.