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Finding the Third Proportional to 48,566 and 105,958

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Solution

The third proportional to 48,566 and 105,958 is: 231,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,566 : 105,958 = 105,958 : x
  2. Step 2: Convert to fraction form
    48,566/105,958 = 105,958/x
  3. Step 3: Cross multiply
    48,566x = 105,958 × 105,958
  4. Step 4: Simplify right side
    48,566x = 11,227,097,764
  5. Step 5: Solve for x
    x = 11,227,097,764/48,566
  6. Step 6: Final answer
    x = 231,171.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.