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Finding the Third Proportional to 49,998.50 and 80,274

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Solution

The third proportional to 49,998.50 and 80,274 is: 128,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,998.50 : 80,274 = 80,274 : x
  2. Step 2: Convert to fraction form
    49,998.50/80,274 = 80,274/x
  3. Step 3: Cross multiply
    49,998.50x = 80,274 × 80,274
  4. Step 4: Simplify right side
    49,998.50x = 6,443,915,076
  5. Step 5: Solve for x
    x = 6,443,915,076/49,998.50
  6. Step 6: Final answer
    x = 128,882.17

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.