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Finding the Third Proportional to 126,456 and 272,616

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Solution

The third proportional to 126,456 and 272,616 is: 587,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456 : 272,616 = 272,616 : x
  2. Step 2: Convert to fraction form
    126,456/272,616 = 272,616/x
  3. Step 3: Cross multiply
    126,456x = 272,616 × 272,616
  4. Step 4: Simplify right side
    126,456x = 74,319,483,456
  5. Step 5: Solve for x
    x = 74,319,483,456/126,456
  6. Step 6: Final answer
    x = 587,710.22

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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.