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Finding the Third Proportional to 48,917 and 103,089

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Solution

The third proportional to 48,917 and 103,089 is: 217,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,917 : 103,089 = 103,089 : x
  2. Step 2: Convert to fraction form
    48,917/103,089 = 103,089/x
  3. Step 3: Cross multiply
    48,917x = 103,089 × 103,089
  4. Step 4: Simplify right side
    48,917x = 10,627,341,921
  5. Step 5: Solve for x
    x = 10,627,341,921/48,917
  6. Step 6: Final answer
    x = 217,252.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.