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Finding the Third Proportional to 125,640 and 272,008

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Solution

The third proportional to 125,640 and 272,008 is: 588,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,640 : 272,008 = 272,008 : x
  2. Step 2: Convert to fraction form
    125,640/272,008 = 272,008/x
  3. Step 3: Cross multiply
    125,640x = 272,008 × 272,008
  4. Step 4: Simplify right side
    125,640x = 73,988,352,064
  5. Step 5: Solve for x
    x = 73,988,352,064/125,640
  6. Step 6: Final answer
    x = 588,891.69

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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.