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Finding the Third Proportional to 85,482 and 132,704

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Solution

The third proportional to 85,482 and 132,704 is: 206,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,482 : 132,704 = 132,704 : x
  2. Step 2: Convert to fraction form
    85,482/132,704 = 132,704/x
  3. Step 3: Cross multiply
    85,482x = 132,704 × 132,704
  4. Step 4: Simplify right side
    85,482x = 17,610,351,616
  5. Step 5: Solve for x
    x = 17,610,351,616/85,482
  6. Step 6: Final answer
    x = 206,012.40

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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.