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Finding the Third Proportional to 52,644 and 68,302

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Solution

The third proportional to 52,644 and 68,302 is: 88,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644 : 68,302 = 68,302 : x
  2. Step 2: Convert to fraction form
    52,644/68,302 = 68,302/x
  3. Step 3: Cross multiply
    52,644x = 68,302 × 68,302
  4. Step 4: Simplify right side
    52,644x = 4,665,163,204
  5. Step 5: Solve for x
    x = 4,665,163,204/52,644
  6. Step 6: Final answer
    x = 88,617.19

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.