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Finding the Third Proportional to 43,182 and 93,948

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Solution

The third proportional to 43,182 and 93,948 is: 204,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,182 : 93,948 = 93,948 : x
  2. Step 2: Convert to fraction form
    43,182/93,948 = 93,948/x
  3. Step 3: Cross multiply
    43,182x = 93,948 × 93,948
  4. Step 4: Simplify right side
    43,182x = 8,826,226,704
  5. Step 5: Solve for x
    x = 8,826,226,704/43,182
  6. Step 6: Final answer
    x = 204,395.97

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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.