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Finding the Third Proportional to 48,770 and 106,846

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Solution

The third proportional to 48,770 and 106,846 is: 234,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770 : 106,846 = 106,846 : x
  2. Step 2: Convert to fraction form
    48,770/106,846 = 106,846/x
  3. Step 3: Cross multiply
    48,770x = 106,846 × 106,846
  4. Step 4: Simplify right side
    48,770x = 11,416,067,716
  5. Step 5: Solve for x
    x = 11,416,067,716/48,770
  6. Step 6: Final answer
    x = 234,079.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.