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Finding the Third Proportional to 48,417 and 73,350

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Solution

The third proportional to 48,417 and 73,350 is: 111,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,417 : 73,350 = 73,350 : x
  2. Step 2: Convert to fraction form
    48,417/73,350 = 73,350/x
  3. Step 3: Cross multiply
    48,417x = 73,350 × 73,350
  4. Step 4: Simplify right side
    48,417x = 5,380,222,500
  5. Step 5: Solve for x
    x = 5,380,222,500/48,417
  6. Step 6: Final answer
    x = 111,122.59

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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.