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Finding the Third Proportional to 125,567 and 271,051

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Solution

The third proportional to 125,567 and 271,051 is: 585,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,567 : 271,051 = 271,051 : x
  2. Step 2: Convert to fraction form
    125,567/271,051 = 271,051/x
  3. Step 3: Cross multiply
    125,567x = 271,051 × 271,051
  4. Step 4: Simplify right side
    125,567x = 73,468,644,601
  5. Step 5: Solve for x
    x = 73,468,644,601/125,567
  6. Step 6: Final answer
    x = 585,095.17

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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.