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Finding the Third Proportional to 75,881 and 163,919

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Solution

The third proportional to 75,881 and 163,919 is: 354,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881 : 163,919 = 163,919 : x
  2. Step 2: Convert to fraction form
    75,881/163,919 = 163,919/x
  3. Step 3: Cross multiply
    75,881x = 163,919 × 163,919
  4. Step 4: Simplify right side
    75,881x = 26,869,438,561
  5. Step 5: Solve for x
    x = 26,869,438,561/75,881
  6. Step 6: Final answer
    x = 354,099.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.