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Finding the Third Proportional to 48,719 and 104,958

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Solution

The third proportional to 48,719 and 104,958 is: 226,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,719 : 104,958 = 104,958 : x
  2. Step 2: Convert to fraction form
    48,719/104,958 = 104,958/x
  3. Step 3: Cross multiply
    48,719x = 104,958 × 104,958
  4. Step 4: Simplify right side
    48,719x = 11,016,181,764
  5. Step 5: Solve for x
    x = 11,016,181,764/48,719
  6. Step 6: Final answer
    x = 226,116.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.