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Finding the Third Proportional to 77,876 and 118,353

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Solution

The third proportional to 77,876 and 118,353 is: 179,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876 : 118,353 = 118,353 : x
  2. Step 2: Convert to fraction form
    77,876/118,353 = 118,353/x
  3. Step 3: Cross multiply
    77,876x = 118,353 × 118,353
  4. Step 4: Simplify right side
    77,876x = 14,007,432,609
  5. Step 5: Solve for x
    x = 14,007,432,609/77,876
  6. Step 6: Final answer
    x = 179,868.41

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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.