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Finding the Third Proportional to 120,861 and 260,939

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Solution

The third proportional to 120,861 and 260,939 is: 563,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,861 : 260,939 = 260,939 : x
  2. Step 2: Convert to fraction form
    120,861/260,939 = 260,939/x
  3. Step 3: Cross multiply
    120,861x = 260,939 × 260,939
  4. Step 4: Simplify right side
    120,861x = 68,089,161,721
  5. Step 5: Solve for x
    x = 68,089,161,721/120,861
  6. Step 6: Final answer
    x = 563,367.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.