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Finding the Third Proportional to 76,334.75 and 112,221.25

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Solution

The third proportional to 76,334.75 and 112,221.25 is: 164,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.75 : 112,221.25 = 112,221.25 : x
  2. Step 2: Convert to fraction form
    76,334.75/112,221.25 = 112,221.25/x
  3. Step 3: Cross multiply
    76,334.75x = 112,221.25 × 112,221.25
  4. Step 4: Simplify right side
    76,334.75x = 12,593,608,951.56
  5. Step 5: Solve for x
    x = 12,593,608,951.56/76,334.75
  6. Step 6: Final answer
    x = 164,978.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.