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Finding the Third Proportional to 125,074 and 272,180

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Solution

The third proportional to 125,074 and 272,180 is: 592,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,074 : 272,180 = 272,180 : x
  2. Step 2: Convert to fraction form
    125,074/272,180 = 272,180/x
  3. Step 3: Cross multiply
    125,074x = 272,180 × 272,180
  4. Step 4: Simplify right side
    125,074x = 74,081,952,400
  5. Step 5: Solve for x
    x = 74,081,952,400/125,074
  6. Step 6: Final answer
    x = 592,304.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.