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Finding the Third Proportional to 127,374.75 and 269,920.13

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Solution

The third proportional to 127,374.75 and 269,920.13 is: 571,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,374.75 : 269,920.13 = 269,920.13 : x
  2. Step 2: Convert to fraction form
    127,374.75/269,920.13 = 269,920.13/x
  3. Step 3: Cross multiply
    127,374.75x = 269,920.13 × 269,920.13
  4. Step 4: Simplify right side
    127,374.75x = 72,856,873,880.02
  5. Step 5: Solve for x
    x = 72,856,873,880.02/127,374.75
  6. Step 6: Final answer
    x = 571,988.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.