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Finding the Third Proportional to 73,724.25 and 111,195.75

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Solution

The third proportional to 73,724.25 and 111,195.75 is: 167,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,724.25 : 111,195.75 = 111,195.75 : x
  2. Step 2: Convert to fraction form
    73,724.25/111,195.75 = 111,195.75/x
  3. Step 3: Cross multiply
    73,724.25x = 111,195.75 × 111,195.75
  4. Step 4: Simplify right side
    73,724.25x = 12,364,494,818.06
  5. Step 5: Solve for x
    x = 12,364,494,818.06/73,724.25
  6. Step 6: Final answer
    x = 167,712.72

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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.