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Finding the Third Proportional to 49,203 and 76,397

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Solution

The third proportional to 49,203 and 76,397 is: 118,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203 : 76,397 = 76,397 : x
  2. Step 2: Convert to fraction form
    49,203/76,397 = 76,397/x
  3. Step 3: Cross multiply
    49,203x = 76,397 × 76,397
  4. Step 4: Simplify right side
    49,203x = 5,836,501,609
  5. Step 5: Solve for x
    x = 5,836,501,609/49,203
  6. Step 6: Final answer
    x = 118,620.85

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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.