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Finding the Third Proportional to 43,076 and 66,193

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Solution

The third proportional to 43,076 and 66,193 is: 101,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,076 : 66,193 = 66,193 : x
  2. Step 2: Convert to fraction form
    43,076/66,193 = 66,193/x
  3. Step 3: Cross multiply
    43,076x = 66,193 × 66,193
  4. Step 4: Simplify right side
    43,076x = 4,381,513,249
  5. Step 5: Solve for x
    x = 4,381,513,249/43,076
  6. Step 6: Final answer
    x = 101,715.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.