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Finding the Third Proportional to 83,136.38 and 127,924.31

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Solution

The third proportional to 83,136.38 and 127,924.31 is: 196,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,136.38 : 127,924.31 = 127,924.31 : x
  2. Step 2: Convert to fraction form
    83,136.38/127,924.31 = 127,924.31/x
  3. Step 3: Cross multiply
    83,136.38x = 127,924.31 × 127,924.31
  4. Step 4: Simplify right side
    83,136.38x = 16,364,629,728.60
  5. Step 5: Solve for x
    x = 16,364,629,728.60/83,136.38
  6. Step 6: Final answer
    x = 196,840.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.