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Finding the Third Proportional to 126,232 and 272,147

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Solution

The third proportional to 126,232 and 272,147 is: 586,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,232 : 272,147 = 272,147 : x
  2. Step 2: Convert to fraction form
    126,232/272,147 = 272,147/x
  3. Step 3: Cross multiply
    126,232x = 272,147 × 272,147
  4. Step 4: Simplify right side
    126,232x = 74,063,989,609
  5. Step 5: Solve for x
    x = 74,063,989,609/126,232
  6. Step 6: Final answer
    x = 586,729.11

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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.