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Finding the Third Proportional to 41,206.50 and 88,983

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Solution

The third proportional to 41,206.50 and 88,983 is: 192,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206.50 : 88,983 = 88,983 : x
  2. Step 2: Convert to fraction form
    41,206.50/88,983 = 88,983/x
  3. Step 3: Cross multiply
    41,206.50x = 88,983 × 88,983
  4. Step 4: Simplify right side
    41,206.50x = 7,917,974,289
  5. Step 5: Solve for x
    x = 7,917,974,289/41,206.50
  6. Step 6: Final answer
    x = 192,153.53

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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.