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Finding the Third Proportional to 54,344 and 114,597

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Solution

The third proportional to 54,344 and 114,597 is: 241,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,344 : 114,597 = 114,597 : x
  2. Step 2: Convert to fraction form
    54,344/114,597 = 114,597/x
  3. Step 3: Cross multiply
    54,344x = 114,597 × 114,597
  4. Step 4: Simplify right side
    54,344x = 13,132,472,409
  5. Step 5: Solve for x
    x = 13,132,472,409/54,344
  6. Step 6: Final answer
    x = 241,654.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.