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Finding the Third Proportional to 48,043 and 77,193

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Solution

The third proportional to 48,043 and 77,193 is: 124,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,043 : 77,193 = 77,193 : x
  2. Step 2: Convert to fraction form
    48,043/77,193 = 77,193/x
  3. Step 3: Cross multiply
    48,043x = 77,193 × 77,193
  4. Step 4: Simplify right side
    48,043x = 5,958,759,249
  5. Step 5: Solve for x
    x = 5,958,759,249/48,043
  6. Step 6: Final answer
    x = 124,029.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.