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Finding the Third Proportional to 126,731 and 272,182

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Solution

The third proportional to 126,731 and 272,182 is: 584,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,731 : 272,182 = 272,182 : x
  2. Step 2: Convert to fraction form
    126,731/272,182 = 272,182/x
  3. Step 3: Cross multiply
    126,731x = 272,182 × 272,182
  4. Step 4: Simplify right side
    126,731x = 74,083,041,124
  5. Step 5: Solve for x
    x = 74,083,041,124/126,731
  6. Step 6: Final answer
    x = 584,569.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.