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Finding the Third Proportional to 54,036 and 116,397

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Solution

The third proportional to 54,036 and 116,397 is: 250,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,036 : 116,397 = 116,397 : x
  2. Step 2: Convert to fraction form
    54,036/116,397 = 116,397/x
  3. Step 3: Cross multiply
    54,036x = 116,397 × 116,397
  4. Step 4: Simplify right side
    54,036x = 13,548,261,609
  5. Step 5: Solve for x
    x = 13,548,261,609/54,036
  6. Step 6: Final answer
    x = 250,726.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.