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Finding the Third Proportional to 106,868 and 151,902

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Solution

The third proportional to 106,868 and 151,902 is: 215,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,868 : 151,902 = 151,902 : x
  2. Step 2: Convert to fraction form
    106,868/151,902 = 151,902/x
  3. Step 3: Cross multiply
    106,868x = 151,902 × 151,902
  4. Step 4: Simplify right side
    106,868x = 23,074,217,604
  5. Step 5: Solve for x
    x = 23,074,217,604/106,868
  6. Step 6: Final answer
    x = 215,913.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.