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Finding the Third Proportional to 47,240 and 76,116

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Solution

The third proportional to 47,240 and 76,116 is: 122,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,240 : 76,116 = 76,116 : x
  2. Step 2: Convert to fraction form
    47,240/76,116 = 76,116/x
  3. Step 3: Cross multiply
    47,240x = 76,116 × 76,116
  4. Step 4: Simplify right side
    47,240x = 5,793,645,456
  5. Step 5: Solve for x
    x = 5,793,645,456/47,240
  6. Step 6: Final answer
    x = 122,642.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.