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Finding the Third Proportional to 54,332 and 113,632

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Solution

The third proportional to 54,332 and 113,632 is: 237,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,332 : 113,632 = 113,632 : x
  2. Step 2: Convert to fraction form
    54,332/113,632 = 113,632/x
  3. Step 3: Cross multiply
    54,332x = 113,632 × 113,632
  4. Step 4: Simplify right side
    54,332x = 12,912,231,424
  5. Step 5: Solve for x
    x = 12,912,231,424/54,332
  6. Step 6: Final answer
    x = 237,654.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.