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Finding the Third Proportional to 49,230 and 76,374

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Solution

The third proportional to 49,230 and 76,374 is: 118,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,230 : 76,374 = 76,374 : x
  2. Step 2: Convert to fraction form
    49,230/76,374 = 76,374/x
  3. Step 3: Cross multiply
    49,230x = 76,374 × 76,374
  4. Step 4: Simplify right side
    49,230x = 5,832,987,876
  5. Step 5: Solve for x
    x = 5,832,987,876/49,230
  6. Step 6: Final answer
    x = 118,484.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.