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Finding the Third Proportional to 124,891.50 and 269,722.50

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Solution

The third proportional to 124,891.50 and 269,722.50 is: 582,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,891.50 : 269,722.50 = 269,722.50 : x
  2. Step 2: Convert to fraction form
    124,891.50/269,722.50 = 269,722.50/x
  3. Step 3: Cross multiply
    124,891.50x = 269,722.50 × 269,722.50
  4. Step 4: Simplify right side
    124,891.50x = 72,750,227,006.25
  5. Step 5: Solve for x
    x = 72,750,227,006.25/124,891.50
  6. Step 6: Final answer
    x = 582,507.43

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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.