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Finding the Third Proportional to 48,974 and 109,927

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Solution

The third proportional to 48,974 and 109,927 is: 246,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974 : 109,927 = 109,927 : x
  2. Step 2: Convert to fraction form
    48,974/109,927 = 109,927/x
  3. Step 3: Cross multiply
    48,974x = 109,927 × 109,927
  4. Step 4: Simplify right side
    48,974x = 12,083,945,329
  5. Step 5: Solve for x
    x = 12,083,945,329/48,974
  6. Step 6: Final answer
    x = 246,742.05

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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.