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Finding the Third Proportional to 76,177.50 and 167,122.50

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Solution

The third proportional to 76,177.50 and 167,122.50 is: 366,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,177.50 : 167,122.50 = 167,122.50 : x
  2. Step 2: Convert to fraction form
    76,177.50/167,122.50 = 167,122.50/x
  3. Step 3: Cross multiply
    76,177.50x = 167,122.50 × 167,122.50
  4. Step 4: Simplify right side
    76,177.50x = 27,929,930,006.25
  5. Step 5: Solve for x
    x = 27,929,930,006.25/76,177.50
  6. Step 6: Final answer
    x = 366,642.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.