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Finding the Third Proportional to 54,116 and 117,448

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Solution

The third proportional to 54,116 and 117,448 is: 254,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116 : 117,448 = 117,448 : x
  2. Step 2: Convert to fraction form
    54,116/117,448 = 117,448/x
  3. Step 3: Cross multiply
    54,116x = 117,448 × 117,448
  4. Step 4: Simplify right side
    54,116x = 13,794,032,704
  5. Step 5: Solve for x
    x = 13,794,032,704/54,116
  6. Step 6: Final answer
    x = 254,897.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.