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Finding the Third Proportional to 132,176 and 204,741

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Solution

The third proportional to 132,176 and 204,741 is: 317,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,176 : 204,741 = 204,741 : x
  2. Step 2: Convert to fraction form
    132,176/204,741 = 204,741/x
  3. Step 3: Cross multiply
    132,176x = 204,741 × 204,741
  4. Step 4: Simplify right side
    132,176x = 41,918,877,081
  5. Step 5: Solve for x
    x = 41,918,877,081/132,176
  6. Step 6: Final answer
    x = 317,144.39

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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.