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Finding the Third Proportional to 82,046.25 and 122,932.69

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Solution

The third proportional to 82,046.25 and 122,932.69 is: 184,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,046.25 : 122,932.69 = 122,932.69 : x
  2. Step 2: Convert to fraction form
    82,046.25/122,932.69 = 122,932.69/x
  3. Step 3: Cross multiply
    82,046.25x = 122,932.69 × 122,932.69
  4. Step 4: Simplify right side
    82,046.25x = 15,112,445,655.97
  5. Step 5: Solve for x
    x = 15,112,445,655.97/82,046.25
  6. Step 6: Final answer
    x = 184,194.23

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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.