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Finding the Third Proportional to 126,248 and 272,080

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Solution

The third proportional to 126,248 and 272,080 is: 586,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,248 : 272,080 = 272,080 : x
  2. Step 2: Convert to fraction form
    126,248/272,080 = 272,080/x
  3. Step 3: Cross multiply
    126,248x = 272,080 × 272,080
  4. Step 4: Simplify right side
    126,248x = 74,027,526,400
  5. Step 5: Solve for x
    x = 74,027,526,400/126,248
  6. Step 6: Final answer
    x = 586,365.93

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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.