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Finding the Third Proportional to 54,151.50 and 80,778

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Solution

The third proportional to 54,151.50 and 80,778 is: 120,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,151.50 : 80,778 = 80,778 : x
  2. Step 2: Convert to fraction form
    54,151.50/80,778 = 80,778/x
  3. Step 3: Cross multiply
    54,151.50x = 80,778 × 80,778
  4. Step 4: Simplify right side
    54,151.50x = 6,525,085,284
  5. Step 5: Solve for x
    x = 6,525,085,284/54,151.50
  6. Step 6: Final answer
    x = 120,496.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.