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Finding the Third Proportional to 48,701 and 103,680

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Solution

The third proportional to 48,701 and 103,680 is: 220,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701 : 103,680 = 103,680 : x
  2. Step 2: Convert to fraction form
    48,701/103,680 = 103,680/x
  3. Step 3: Cross multiply
    48,701x = 103,680 × 103,680
  4. Step 4: Simplify right side
    48,701x = 10,749,542,400
  5. Step 5: Solve for x
    x = 10,749,542,400/48,701
  6. Step 6: Final answer
    x = 220,725.29

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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.