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Finding the Third Proportional to 125,644 and 270,972

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Solution

The third proportional to 125,644 and 270,972 is: 584,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,644 : 270,972 = 270,972 : x
  2. Step 2: Convert to fraction form
    125,644/270,972 = 270,972/x
  3. Step 3: Cross multiply
    125,644x = 270,972 × 270,972
  4. Step 4: Simplify right side
    125,644x = 73,425,824,784
  5. Step 5: Solve for x
    x = 73,425,824,784/125,644
  6. Step 6: Final answer
    x = 584,395.79

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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.