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Finding the Third Proportional to 48,442 and 103,788

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Solution

The third proportional to 48,442 and 103,788 is: 222,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,442 : 103,788 = 103,788 : x
  2. Step 2: Convert to fraction form
    48,442/103,788 = 103,788/x
  3. Step 3: Cross multiply
    48,442x = 103,788 × 103,788
  4. Step 4: Simplify right side
    48,442x = 10,771,948,944
  5. Step 5: Solve for x
    x = 10,771,948,944/48,442
  6. Step 6: Final answer
    x = 222,367.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.