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Finding the Third Proportional to 106,833.75 and 227,967

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Solution

The third proportional to 106,833.75 and 227,967 is: 486,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,833.75 : 227,967 = 227,967 : x
  2. Step 2: Convert to fraction form
    106,833.75/227,967 = 227,967/x
  3. Step 3: Cross multiply
    106,833.75x = 227,967 × 227,967
  4. Step 4: Simplify right side
    106,833.75x = 51,968,953,089
  5. Step 5: Solve for x
    x = 51,968,953,089/106,833.75
  6. Step 6: Final answer
    x = 486,446.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.