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Finding the Third Proportional to 83,229 and 182,029

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Solution

The third proportional to 83,229 and 182,029 is: 398,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229 : 182,029 = 182,029 : x
  2. Step 2: Convert to fraction form
    83,229/182,029 = 182,029/x
  3. Step 3: Cross multiply
    83,229x = 182,029 × 182,029
  4. Step 4: Simplify right side
    83,229x = 33,134,556,841
  5. Step 5: Solve for x
    x = 33,134,556,841/83,229
  6. Step 6: Final answer
    x = 398,113.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.