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Finding the Third Proportional to 67,747.50 and 148,977

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Solution

The third proportional to 67,747.50 and 148,977 is: 327,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,747.50 : 148,977 = 148,977 : x
  2. Step 2: Convert to fraction form
    67,747.50/148,977 = 148,977/x
  3. Step 3: Cross multiply
    67,747.50x = 148,977 × 148,977
  4. Step 4: Simplify right side
    67,747.50x = 22,194,146,529
  5. Step 5: Solve for x
    x = 22,194,146,529/67,747.50
  6. Step 6: Final answer
    x = 327,600.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.