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Finding the Third Proportional to 80,622 and 121,014

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Solution

The third proportional to 80,622 and 121,014 is: 181,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,622 : 121,014 = 121,014 : x
  2. Step 2: Convert to fraction form
    80,622/121,014 = 121,014/x
  3. Step 3: Cross multiply
    80,622x = 121,014 × 121,014
  4. Step 4: Simplify right side
    80,622x = 14,644,388,196
  5. Step 5: Solve for x
    x = 14,644,388,196/80,622
  6. Step 6: Final answer
    x = 181,642.58

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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.