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Finding the Third Proportional to 120,530 and 169,779

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Solution

The third proportional to 120,530 and 169,779 is: 239,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,530 : 169,779 = 169,779 : x
  2. Step 2: Convert to fraction form
    120,530/169,779 = 169,779/x
  3. Step 3: Cross multiply
    120,530x = 169,779 × 169,779
  4. Step 4: Simplify right side
    120,530x = 28,824,908,841
  5. Step 5: Solve for x
    x = 28,824,908,841/120,530
  6. Step 6: Final answer
    x = 239,151.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.