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Finding the Third Proportional to 111,547 and 167,568

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Solution

The third proportional to 111,547 and 167,568 is: 251,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,547 : 167,568 = 167,568 : x
  2. Step 2: Convert to fraction form
    111,547/167,568 = 167,568/x
  3. Step 3: Cross multiply
    111,547x = 167,568 × 167,568
  4. Step 4: Simplify right side
    111,547x = 28,079,034,624
  5. Step 5: Solve for x
    x = 28,079,034,624/111,547
  6. Step 6: Final answer
    x = 251,723.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.