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Finding the Third Proportional to 107,622 and 161,817

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Solution

The third proportional to 107,622 and 161,817 is: 243,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,622 : 161,817 = 161,817 : x
  2. Step 2: Convert to fraction form
    107,622/161,817 = 161,817/x
  3. Step 3: Cross multiply
    107,622x = 161,817 × 161,817
  4. Step 4: Simplify right side
    107,622x = 26,184,741,489
  5. Step 5: Solve for x
    x = 26,184,741,489/107,622
  6. Step 6: Final answer
    x = 243,302.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.