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Finding the Third Proportional to 100,596 and 151,919

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Solution

The third proportional to 100,596 and 151,919 is: 229,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596 : 151,919 = 151,919 : x
  2. Step 2: Convert to fraction form
    100,596/151,919 = 151,919/x
  3. Step 3: Cross multiply
    100,596x = 151,919 × 151,919
  4. Step 4: Simplify right side
    100,596x = 23,079,382,561
  5. Step 5: Solve for x
    x = 23,079,382,561/100,596
  6. Step 6: Final answer
    x = 229,426.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.