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Finding the Third Proportional to 39,296 and 83,452

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Solution

The third proportional to 39,296 and 83,452 is: 177,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296 : 83,452 = 83,452 : x
  2. Step 2: Convert to fraction form
    39,296/83,452 = 83,452/x
  3. Step 3: Cross multiply
    39,296x = 83,452 × 83,452
  4. Step 4: Simplify right side
    39,296x = 6,964,236,304
  5. Step 5: Solve for x
    x = 6,964,236,304/39,296
  6. Step 6: Final answer
    x = 177,225.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.