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Finding the Third Proportional to 132,164 and 212,802

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Solution

The third proportional to 132,164 and 212,802 is: 342,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,164 : 212,802 = 212,802 : x
  2. Step 2: Convert to fraction form
    132,164/212,802 = 212,802/x
  3. Step 3: Cross multiply
    132,164x = 212,802 × 212,802
  4. Step 4: Simplify right side
    132,164x = 45,284,691,204
  5. Step 5: Solve for x
    x = 45,284,691,204/132,164
  6. Step 6: Final answer
    x = 342,640.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.