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Finding the Third Proportional to 48,222 and 103,687

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Solution

The third proportional to 48,222 and 103,687 is: 222,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 103,687 = 103,687 : x
  2. Step 2: Convert to fraction form
    48,222/103,687 = 103,687/x
  3. Step 3: Cross multiply
    48,222x = 103,687 × 103,687
  4. Step 4: Simplify right side
    48,222x = 10,750,993,969
  5. Step 5: Solve for x
    x = 10,750,993,969/48,222
  6. Step 6: Final answer
    x = 222,947.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.