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Finding the Third Proportional to 80,921.44 and 122,506.69

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Solution

The third proportional to 80,921.44 and 122,506.69 is: 185,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,921.44 : 122,506.69 = 122,506.69 : x
  2. Step 2: Convert to fraction form
    80,921.44/122,506.69 = 122,506.69/x
  3. Step 3: Cross multiply
    80,921.44x = 122,506.69 × 122,506.69
  4. Step 4: Simplify right side
    80,921.44x = 15,007,888,482.22
  5. Step 5: Solve for x
    x = 15,007,888,482.22/80,921.44
  6. Step 6: Final answer
    x = 185,462.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.