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Finding the Third Proportional to 125,666 and 269,070

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Solution

The third proportional to 125,666 and 269,070 is: 576,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,666 : 269,070 = 269,070 : x
  2. Step 2: Convert to fraction form
    125,666/269,070 = 269,070/x
  3. Step 3: Cross multiply
    125,666x = 269,070 × 269,070
  4. Step 4: Simplify right side
    125,666x = 72,398,664,900
  5. Step 5: Solve for x
    x = 72,398,664,900/125,666
  6. Step 6: Final answer
    x = 576,119.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.