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Finding the Third Proportional to 100,802 and 150,231

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Solution

The third proportional to 100,802 and 150,231 is: 223,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,802 : 150,231 = 150,231 : x
  2. Step 2: Convert to fraction form
    100,802/150,231 = 150,231/x
  3. Step 3: Cross multiply
    100,802x = 150,231 × 150,231
  4. Step 4: Simplify right side
    100,802x = 22,569,353,361
  5. Step 5: Solve for x
    x = 22,569,353,361/100,802
  6. Step 6: Final answer
    x = 223,897.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.