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Finding the Third Proportional to 48,660 and 73,339

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Solution

The third proportional to 48,660 and 73,339 is: 110,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,660 : 73,339 = 73,339 : x
  2. Step 2: Convert to fraction form
    48,660/73,339 = 73,339/x
  3. Step 3: Cross multiply
    48,660x = 73,339 × 73,339
  4. Step 4: Simplify right side
    48,660x = 5,378,608,921
  5. Step 5: Solve for x
    x = 5,378,608,921/48,660
  6. Step 6: Final answer
    x = 110,534.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.