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Finding the Third Proportional to 132,042 and 195,151

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Solution

The third proportional to 132,042 and 195,151 is: 288,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,042 : 195,151 = 195,151 : x
  2. Step 2: Convert to fraction form
    132,042/195,151 = 195,151/x
  3. Step 3: Cross multiply
    132,042x = 195,151 × 195,151
  4. Step 4: Simplify right side
    132,042x = 38,083,912,801
  5. Step 5: Solve for x
    x = 38,083,912,801/132,042
  6. Step 6: Final answer
    x = 288,422.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.