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Finding the Third Proportional to 77,998.50 and 167,085

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Solution

The third proportional to 77,998.50 and 167,085 is: 357,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,998.50 : 167,085 = 167,085 : x
  2. Step 2: Convert to fraction form
    77,998.50/167,085 = 167,085/x
  3. Step 3: Cross multiply
    77,998.50x = 167,085 × 167,085
  4. Step 4: Simplify right side
    77,998.50x = 27,917,397,225
  5. Step 5: Solve for x
    x = 27,917,397,225/77,998.50
  6. Step 6: Final answer
    x = 357,922.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.