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Finding the Third Proportional to 84,204 and 180,080

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Solution

The third proportional to 84,204 and 180,080 is: 385,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,204 : 180,080 = 180,080 : x
  2. Step 2: Convert to fraction form
    84,204/180,080 = 180,080/x
  3. Step 3: Cross multiply
    84,204x = 180,080 × 180,080
  4. Step 4: Simplify right side
    84,204x = 32,428,806,400
  5. Step 5: Solve for x
    x = 32,428,806,400/84,204
  6. Step 6: Final answer
    x = 385,121.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.