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Finding the Third Proportional to 77,233.50 and 167,082.75

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Solution

The third proportional to 77,233.50 and 167,082.75 is: 361,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,233.50 : 167,082.75 = 167,082.75 : x
  2. Step 2: Convert to fraction form
    77,233.50/167,082.75 = 167,082.75/x
  3. Step 3: Cross multiply
    77,233.50x = 167,082.75 × 167,082.75
  4. Step 4: Simplify right side
    77,233.50x = 27,916,645,347.56
  5. Step 5: Solve for x
    x = 27,916,645,347.56/77,233.50
  6. Step 6: Final answer
    x = 361,457.73

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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.