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Finding the Third Proportional to 126,261 and 272,200

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Solution

The third proportional to 126,261 and 272,200 is: 586,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,261 : 272,200 = 272,200 : x
  2. Step 2: Convert to fraction form
    126,261/272,200 = 272,200/x
  3. Step 3: Cross multiply
    126,261x = 272,200 × 272,200
  4. Step 4: Simplify right side
    126,261x = 74,092,840,000
  5. Step 5: Solve for x
    x = 74,092,840,000/126,261
  6. Step 6: Final answer
    x = 586,822.85

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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.