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Finding the Third Proportional to 43,204 and 64,302

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Solution

The third proportional to 43,204 and 64,302 is: 95,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204 : 64,302 = 64,302 : x
  2. Step 2: Convert to fraction form
    43,204/64,302 = 64,302/x
  3. Step 3: Cross multiply
    43,204x = 64,302 × 64,302
  4. Step 4: Simplify right side
    43,204x = 4,134,747,204
  5. Step 5: Solve for x
    x = 4,134,747,204/43,204
  6. Step 6: Final answer
    x = 95,702.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.