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Finding the Third Proportional to 49,311 and 80,113.50

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Solution

The third proportional to 49,311 and 80,113.50 is: 130,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,311 : 80,113.50 = 80,113.50 : x
  2. Step 2: Convert to fraction form
    49,311/80,113.50 = 80,113.50/x
  3. Step 3: Cross multiply
    49,311x = 80,113.50 × 80,113.50
  4. Step 4: Simplify right side
    49,311x = 6,418,172,882.25
  5. Step 5: Solve for x
    x = 6,418,172,882.25/49,311
  6. Step 6: Final answer
    x = 130,157.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.