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Finding the Third Proportional to 73,716 and 111,105

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Solution

The third proportional to 73,716 and 111,105 is: 167,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,716 : 111,105 = 111,105 : x
  2. Step 2: Convert to fraction form
    73,716/111,105 = 111,105/x
  3. Step 3: Cross multiply
    73,716x = 111,105 × 111,105
  4. Step 4: Simplify right side
    73,716x = 12,344,321,025
  5. Step 5: Solve for x
    x = 12,344,321,025/73,716
  6. Step 6: Final answer
    x = 167,457.82

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