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Finding the Third Proportional to 83,727.75 and 117,115.13

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Solution

The third proportional to 83,727.75 and 117,115.13 is: 163,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,727.75 : 117,115.13 = 117,115.13 : x
  2. Step 2: Convert to fraction form
    83,727.75/117,115.13 = 117,115.13/x
  3. Step 3: Cross multiply
    83,727.75x = 117,115.13 × 117,115.13
  4. Step 4: Simplify right side
    83,727.75x = 13,715,952,503.77
  5. Step 5: Solve for x
    x = 13,715,952,503.77/83,727.75
  6. Step 6: Final answer
    x = 163,816.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.