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Finding the Third Proportional to 132,281 and 199,615

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Solution

The third proportional to 132,281 and 199,615 is: 301,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,281 : 199,615 = 199,615 : x
  2. Step 2: Convert to fraction form
    132,281/199,615 = 199,615/x
  3. Step 3: Cross multiply
    132,281x = 199,615 × 199,615
  4. Step 4: Simplify right side
    132,281x = 39,846,148,225
  5. Step 5: Solve for x
    x = 39,846,148,225/132,281
  6. Step 6: Final answer
    x = 301,223.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.