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Finding the Third Proportional to 49,238 and 73,671

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Solution

The third proportional to 49,238 and 73,671 is: 110,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,238 : 73,671 = 73,671 : x
  2. Step 2: Convert to fraction form
    49,238/73,671 = 73,671/x
  3. Step 3: Cross multiply
    49,238x = 73,671 × 73,671
  4. Step 4: Simplify right side
    49,238x = 5,427,416,241
  5. Step 5: Solve for x
    x = 5,427,416,241/49,238
  6. Step 6: Final answer
    x = 110,228.20

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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.