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Finding the Third Proportional to 125,662 and 271,005

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Solution

The third proportional to 125,662 and 271,005 is: 584,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,662 : 271,005 = 271,005 : x
  2. Step 2: Convert to fraction form
    125,662/271,005 = 271,005/x
  3. Step 3: Cross multiply
    125,662x = 271,005 × 271,005
  4. Step 4: Simplify right side
    125,662x = 73,443,710,025
  5. Step 5: Solve for x
    x = 73,443,710,025/125,662
  6. Step 6: Final answer
    x = 584,454.41

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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.