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Finding the Third Proportional to 125,901 and 270,514

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Solution

The third proportional to 125,901 and 270,514 is: 581,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,901 : 270,514 = 270,514 : x
  2. Step 2: Convert to fraction form
    125,901/270,514 = 270,514/x
  3. Step 3: Cross multiply
    125,901x = 270,514 × 270,514
  4. Step 4: Simplify right side
    125,901x = 73,177,824,196
  5. Step 5: Solve for x
    x = 73,177,824,196/125,901
  6. Step 6: Final answer
    x = 581,233.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.