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Finding the Third Proportional to 77,287.50 and 167,170.50

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Solution

The third proportional to 77,287.50 and 167,170.50 is: 361,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287.50 : 167,170.50 = 167,170.50 : x
  2. Step 2: Convert to fraction form
    77,287.50/167,170.50 = 167,170.50/x
  3. Step 3: Cross multiply
    77,287.50x = 167,170.50 × 167,170.50
  4. Step 4: Simplify right side
    77,287.50x = 27,945,976,070.25
  5. Step 5: Solve for x
    x = 27,945,976,070.25/77,287.50
  6. Step 6: Final answer
    x = 361,584.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.