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Finding the Third Proportional to 120,675 and 260,051

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Solution

The third proportional to 120,675 and 260,051 is: 560,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,675 : 260,051 = 260,051 : x
  2. Step 2: Convert to fraction form
    120,675/260,051 = 260,051/x
  3. Step 3: Cross multiply
    120,675x = 260,051 × 260,051
  4. Step 4: Simplify right side
    120,675x = 67,626,522,601
  5. Step 5: Solve for x
    x = 67,626,522,601/120,675
  6. Step 6: Final answer
    x = 560,402.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.