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Finding the Third Proportional to 48,658 and 73,204

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Solution

The third proportional to 48,658 and 73,204 is: 110,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658 : 73,204 = 73,204 : x
  2. Step 2: Convert to fraction form
    48,658/73,204 = 73,204/x
  3. Step 3: Cross multiply
    48,658x = 73,204 × 73,204
  4. Step 4: Simplify right side
    48,658x = 5,358,825,616
  5. Step 5: Solve for x
    x = 5,358,825,616/48,658
  6. Step 6: Final answer
    x = 110,132.47

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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.