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Finding the Third Proportional to 125,624 and 270,943

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Solution

The third proportional to 125,624 and 270,943 is: 584,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,624 : 270,943 = 270,943 : x
  2. Step 2: Convert to fraction form
    125,624/270,943 = 270,943/x
  3. Step 3: Cross multiply
    125,624x = 270,943 × 270,943
  4. Step 4: Simplify right side
    125,624x = 73,410,109,249
  5. Step 5: Solve for x
    x = 73,410,109,249/125,624
  6. Step 6: Final answer
    x = 584,363.73

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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.