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Finding the Third Proportional to 48,701 and 103,678

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Solution

The third proportional to 48,701 and 103,678 is: 220,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701 : 103,678 = 103,678 : x
  2. Step 2: Convert to fraction form
    48,701/103,678 = 103,678/x
  3. Step 3: Cross multiply
    48,701x = 103,678 × 103,678
  4. Step 4: Simplify right side
    48,701x = 10,749,127,684
  5. Step 5: Solve for x
    x = 10,749,127,684/48,701
  6. Step 6: Final answer
    x = 220,716.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.