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Finding the Third Proportional to 132,036 and 198,687

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Solution

The third proportional to 132,036 and 198,687 is: 298,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,036 : 198,687 = 198,687 : x
  2. Step 2: Convert to fraction form
    132,036/198,687 = 198,687/x
  3. Step 3: Cross multiply
    132,036x = 198,687 × 198,687
  4. Step 4: Simplify right side
    132,036x = 39,476,523,969
  5. Step 5: Solve for x
    x = 39,476,523,969/132,036
  6. Step 6: Final answer
    x = 298,983.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.