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Finding the Third Proportional to 48,959 and 109,901

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Solution

The third proportional to 48,959 and 109,901 is: 246,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,959 : 109,901 = 109,901 : x
  2. Step 2: Convert to fraction form
    48,959/109,901 = 109,901/x
  3. Step 3: Cross multiply
    48,959x = 109,901 × 109,901
  4. Step 4: Simplify right side
    48,959x = 12,078,229,801
  5. Step 5: Solve for x
    x = 12,078,229,801/48,959
  6. Step 6: Final answer
    x = 246,700.91

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.