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Finding the Third Proportional to 48,659 and 100,963

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Solution

The third proportional to 48,659 and 100,963 is: 209,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,659 : 100,963 = 100,963 : x
  2. Step 2: Convert to fraction form
    48,659/100,963 = 100,963/x
  3. Step 3: Cross multiply
    48,659x = 100,963 × 100,963
  4. Step 4: Simplify right side
    48,659x = 10,193,527,369
  5. Step 5: Solve for x
    x = 10,193,527,369/48,659
  6. Step 6: Final answer
    x = 209,489.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.