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Finding the Third Proportional to 125,666 and 271,016

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Solution

The third proportional to 125,666 and 271,016 is: 584,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,666 : 271,016 = 271,016 : x
  2. Step 2: Convert to fraction form
    125,666/271,016 = 271,016/x
  3. Step 3: Cross multiply
    125,666x = 271,016 × 271,016
  4. Step 4: Simplify right side
    125,666x = 73,449,672,256
  5. Step 5: Solve for x
    x = 73,449,672,256/125,666
  6. Step 6: Final answer
    x = 584,483.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.