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Finding the Third Proportional to 48,541 and 105,866

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Solution

The third proportional to 48,541 and 105,866 is: 230,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,541 : 105,866 = 105,866 : x
  2. Step 2: Convert to fraction form
    48,541/105,866 = 105,866/x
  3. Step 3: Cross multiply
    48,541x = 105,866 × 105,866
  4. Step 4: Simplify right side
    48,541x = 11,207,609,956
  5. Step 5: Solve for x
    x = 11,207,609,956/48,541
  6. Step 6: Final answer
    x = 230,889.56

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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.