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Finding the Third Proportional to 125,899 and 270,510

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Solution

The third proportional to 125,899 and 270,510 is: 581,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,899 : 270,510 = 270,510 : x
  2. Step 2: Convert to fraction form
    125,899/270,510 = 270,510/x
  3. Step 3: Cross multiply
    125,899x = 270,510 × 270,510
  4. Step 4: Simplify right side
    125,899x = 73,175,660,100
  5. Step 5: Solve for x
    x = 73,175,660,100/125,899
  6. Step 6: Final answer
    x = 581,225.11

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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.