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Finding the Third Proportional to 120,727.13 and 262,213.03

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Solution

The third proportional to 120,727.13 and 262,213.03 is: 569,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,727.13 : 262,213.03 = 262,213.03 : x
  2. Step 2: Convert to fraction form
    120,727.13/262,213.03 = 262,213.03/x
  3. Step 3: Cross multiply
    120,727.13x = 262,213.03 × 262,213.03
  4. Step 4: Simplify right side
    120,727.13x = 68,755,673,757.31
  5. Step 5: Solve for x
    x = 68,755,673,757.31/120,727.13
  6. Step 6: Final answer
    x = 569,513.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.