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Finding the Third Proportional to 54,471 and 113,931

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Solution

The third proportional to 54,471 and 113,931 is: 238,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471 : 113,931 = 113,931 : x
  2. Step 2: Convert to fraction form
    54,471/113,931 = 113,931/x
  3. Step 3: Cross multiply
    54,471x = 113,931 × 113,931
  4. Step 4: Simplify right side
    54,471x = 12,980,272,761
  5. Step 5: Solve for x
    x = 12,980,272,761/54,471
  6. Step 6: Final answer
    x = 238,296.94

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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.