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Finding the Third Proportional to 105,965 and 220,552

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Solution

The third proportional to 105,965 and 220,552 is: 459,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,965 : 220,552 = 220,552 : x
  2. Step 2: Convert to fraction form
    105,965/220,552 = 220,552/x
  3. Step 3: Cross multiply
    105,965x = 220,552 × 220,552
  4. Step 4: Simplify right side
    105,965x = 48,643,184,704
  5. Step 5: Solve for x
    x = 48,643,184,704/105,965
  6. Step 6: Final answer
    x = 459,049.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.