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Finding the Third Proportional to 42,868 and 91,400

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Solution

The third proportional to 42,868 and 91,400 is: 194,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,868 : 91,400 = 91,400 : x
  2. Step 2: Convert to fraction form
    42,868/91,400 = 91,400/x
  3. Step 3: Cross multiply
    42,868x = 91,400 × 91,400
  4. Step 4: Simplify right side
    42,868x = 8,353,960,000
  5. Step 5: Solve for x
    x = 8,353,960,000/42,868
  6. Step 6: Final answer
    x = 194,876.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.