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Finding the Third Proportional to 132,114 and 204,612

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Solution

The third proportional to 132,114 and 204,612 is: 316,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,114 : 204,612 = 204,612 : x
  2. Step 2: Convert to fraction form
    132,114/204,612 = 204,612/x
  3. Step 3: Cross multiply
    132,114x = 204,612 × 204,612
  4. Step 4: Simplify right side
    132,114x = 41,866,070,544
  5. Step 5: Solve for x
    x = 41,866,070,544/132,114
  6. Step 6: Final answer
    x = 316,893.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.