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Finding the Third Proportional to 132,931 and 199,494

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Solution

The third proportional to 132,931 and 199,494 is: 299,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,931 : 199,494 = 199,494 : x
  2. Step 2: Convert to fraction form
    132,931/199,494 = 199,494/x
  3. Step 3: Cross multiply
    132,931x = 199,494 × 199,494
  4. Step 4: Simplify right side
    132,931x = 39,797,856,036
  5. Step 5: Solve for x
    x = 39,797,856,036/132,931
  6. Step 6: Final answer
    x = 299,387.32

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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.