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Finding the Third Proportional to 83,948.91 and 118,052.44

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Solution

The third proportional to 83,948.91 and 118,052.44 is: 166,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,948.91 : 118,052.44 = 118,052.44 : x
  2. Step 2: Convert to fraction form
    83,948.91/118,052.44 = 118,052.44/x
  3. Step 3: Cross multiply
    83,948.91x = 118,052.44 × 118,052.44
  4. Step 4: Simplify right side
    83,948.91x = 13,936,377,999.69
  5. Step 5: Solve for x
    x = 13,936,377,999.69/83,948.91
  6. Step 6: Final answer
    x = 166,010.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.