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Finding the Third Proportional to 43,138 and 93,079

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Solution

The third proportional to 43,138 and 93,079 is: 200,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,138 : 93,079 = 93,079 : x
  2. Step 2: Convert to fraction form
    43,138/93,079 = 93,079/x
  3. Step 3: Cross multiply
    43,138x = 93,079 × 93,079
  4. Step 4: Simplify right side
    43,138x = 8,663,700,241
  5. Step 5: Solve for x
    x = 8,663,700,241/43,138
  6. Step 6: Final answer
    x = 200,836.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.