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Finding the Third Proportional to 125,070 and 267,636

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Solution

The third proportional to 125,070 and 267,636 is: 572,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,070 : 267,636 = 267,636 : x
  2. Step 2: Convert to fraction form
    125,070/267,636 = 267,636/x
  3. Step 3: Cross multiply
    125,070x = 267,636 × 267,636
  4. Step 4: Simplify right side
    125,070x = 71,629,028,496
  5. Step 5: Solve for x
    x = 71,629,028,496/125,070
  6. Step 6: Final answer
    x = 572,711.51

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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.