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Finding the Third Proportional to 136,016 and 199,872

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Solution

The third proportional to 136,016 and 199,872 is: 293,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,016 : 199,872 = 199,872 : x
  2. Step 2: Convert to fraction form
    136,016/199,872 = 199,872/x
  3. Step 3: Cross multiply
    136,016x = 199,872 × 199,872
  4. Step 4: Simplify right side
    136,016x = 39,948,816,384
  5. Step 5: Solve for x
    x = 39,948,816,384/136,016
  6. Step 6: Final answer
    x = 293,706.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.