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Finding the Third Proportional to 126,288 and 272,252

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Solution

The third proportional to 126,288 and 272,252 is: 586,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,288 : 272,252 = 272,252 : x
  2. Step 2: Convert to fraction form
    126,288/272,252 = 272,252/x
  3. Step 3: Cross multiply
    126,288x = 272,252 × 272,252
  4. Step 4: Simplify right side
    126,288x = 74,121,151,504
  5. Step 5: Solve for x
    x = 74,121,151,504/126,288
  6. Step 6: Final answer
    x = 586,921.57

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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.