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Finding the Third Proportional to 49,099 and 73,567

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Solution

The third proportional to 49,099 and 73,567 is: 110,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,099 : 73,567 = 73,567 : x
  2. Step 2: Convert to fraction form
    49,099/73,567 = 73,567/x
  3. Step 3: Cross multiply
    49,099x = 73,567 × 73,567
  4. Step 4: Simplify right side
    49,099x = 5,412,103,489
  5. Step 5: Solve for x
    x = 5,412,103,489/49,099
  6. Step 6: Final answer
    x = 110,228.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.