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Finding the Third Proportional to 125,714 and 271,110

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Solution

The third proportional to 125,714 and 271,110 is: 584,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,714 : 271,110 = 271,110 : x
  2. Step 2: Convert to fraction form
    125,714/271,110 = 271,110/x
  3. Step 3: Cross multiply
    125,714x = 271,110 × 271,110
  4. Step 4: Simplify right side
    125,714x = 73,500,632,100
  5. Step 5: Solve for x
    x = 73,500,632,100/125,714
  6. Step 6: Final answer
    x = 584,665.45

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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.