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Finding the Third Proportional to 132,006 and 175,042

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Solution

The third proportional to 132,006 and 175,042 is: 232,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,006 : 175,042 = 175,042 : x
  2. Step 2: Convert to fraction form
    132,006/175,042 = 175,042/x
  3. Step 3: Cross multiply
    132,006x = 175,042 × 175,042
  4. Step 4: Simplify right side
    132,006x = 30,639,701,764
  5. Step 5: Solve for x
    x = 30,639,701,764/132,006
  6. Step 6: Final answer
    x = 232,108.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.