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Finding the Third Proportional to 126,988 and 271,468

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Solution

The third proportional to 126,988 and 271,468 is: 580,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,988 : 271,468 = 271,468 : x
  2. Step 2: Convert to fraction form
    126,988/271,468 = 271,468/x
  3. Step 3: Cross multiply
    126,988x = 271,468 × 271,468
  4. Step 4: Simplify right side
    126,988x = 73,694,875,024
  5. Step 5: Solve for x
    x = 73,694,875,024/126,988
  6. Step 6: Final answer
    x = 580,329.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.