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Finding the Third Proportional to 140,884 and 191,882

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Solution

The third proportional to 140,884 and 191,882 is: 261,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,884 : 191,882 = 191,882 : x
  2. Step 2: Convert to fraction form
    140,884/191,882 = 191,882/x
  3. Step 3: Cross multiply
    140,884x = 191,882 × 191,882
  4. Step 4: Simplify right side
    140,884x = 36,818,701,924
  5. Step 5: Solve for x
    x = 36,818,701,924/140,884
  6. Step 6: Final answer
    x = 261,340.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.