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Finding the Third Proportional to 123,759 and 269,730

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Solution

The third proportional to 123,759 and 269,730 is: 587,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,759 : 269,730 = 269,730 : x
  2. Step 2: Convert to fraction form
    123,759/269,730 = 269,730/x
  3. Step 3: Cross multiply
    123,759x = 269,730 × 269,730
  4. Step 4: Simplify right side
    123,759x = 72,754,272,900
  5. Step 5: Solve for x
    x = 72,754,272,900/123,759
  6. Step 6: Final answer
    x = 587,870.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.