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Finding the Third Proportional to 99,534 and 150,882

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Solution

The third proportional to 99,534 and 150,882 is: 228,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534 : 150,882 = 150,882 : x
  2. Step 2: Convert to fraction form
    99,534/150,882 = 150,882/x
  3. Step 3: Cross multiply
    99,534x = 150,882 × 150,882
  4. Step 4: Simplify right side
    99,534x = 22,765,377,924
  5. Step 5: Solve for x
    x = 22,765,377,924/99,534
  6. Step 6: Final answer
    x = 228,719.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.