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Finding the Third Proportional to 107,620 and 161,814

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Solution

The third proportional to 107,620 and 161,814 is: 243,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,620 : 161,814 = 161,814 : x
  2. Step 2: Convert to fraction form
    107,620/161,814 = 161,814/x
  3. Step 3: Cross multiply
    107,620x = 161,814 × 161,814
  4. Step 4: Simplify right side
    107,620x = 26,183,770,596
  5. Step 5: Solve for x
    x = 26,183,770,596/107,620
  6. Step 6: Final answer
    x = 243,298.37

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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.