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Finding the Third Proportional to 126,048 and 272,424

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Solution

The third proportional to 126,048 and 272,424 is: 588,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,048 : 272,424 = 272,424 : x
  2. Step 2: Convert to fraction form
    126,048/272,424 = 272,424/x
  3. Step 3: Cross multiply
    126,048x = 272,424 × 272,424
  4. Step 4: Simplify right side
    126,048x = 74,214,835,776
  5. Step 5: Solve for x
    x = 74,214,835,776/126,048
  6. Step 6: Final answer
    x = 588,782.34

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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.