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Finding the Third Proportional to 80,627 and 121,022

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Solution

The third proportional to 80,627 and 121,022 is: 181,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,627 : 121,022 = 121,022 : x
  2. Step 2: Convert to fraction form
    80,627/121,022 = 121,022/x
  3. Step 3: Cross multiply
    80,627x = 121,022 × 121,022
  4. Step 4: Simplify right side
    80,627x = 14,646,324,484
  5. Step 5: Solve for x
    x = 14,646,324,484/80,627
  6. Step 6: Final answer
    x = 181,655.33

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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.