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Finding the Third Proportional to 78,400 and 118,329

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Solution

The third proportional to 78,400 and 118,329 is: 178,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400 : 118,329 = 118,329 : x
  2. Step 2: Convert to fraction form
    78,400/118,329 = 118,329/x
  3. Step 3: Cross multiply
    78,400x = 118,329 × 118,329
  4. Step 4: Simplify right side
    78,400x = 14,001,752,241
  5. Step 5: Solve for x
    x = 14,001,752,241/78,400
  6. Step 6: Final answer
    x = 178,593.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.