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Finding the Third Proportional to 54,662 and 117,934

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Solution

The third proportional to 54,662 and 117,934 is: 254,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,662 : 117,934 = 117,934 : x
  2. Step 2: Convert to fraction form
    54,662/117,934 = 117,934/x
  3. Step 3: Cross multiply
    54,662x = 117,934 × 117,934
  4. Step 4: Simplify right side
    54,662x = 13,908,428,356
  5. Step 5: Solve for x
    x = 13,908,428,356/54,662
  6. Step 6: Final answer
    x = 254,444.19

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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.