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Finding the Third Proportional to 49,693.50 and 79,149

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Solution

The third proportional to 49,693.50 and 79,149 is: 126,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,693.50 : 79,149 = 79,149 : x
  2. Step 2: Convert to fraction form
    49,693.50/79,149 = 79,149/x
  3. Step 3: Cross multiply
    49,693.50x = 79,149 × 79,149
  4. Step 4: Simplify right side
    49,693.50x = 6,264,564,201
  5. Step 5: Solve for x
    x = 6,264,564,201/49,693.50
  6. Step 6: Final answer
    x = 126,064.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.