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Finding the Third Proportional to 106,042 and 230,744

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Solution

The third proportional to 106,042 and 230,744 is: 502,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,042 : 230,744 = 230,744 : x
  2. Step 2: Convert to fraction form
    106,042/230,744 = 230,744/x
  3. Step 3: Cross multiply
    106,042x = 230,744 × 230,744
  4. Step 4: Simplify right side
    106,042x = 53,242,793,536
  5. Step 5: Solve for x
    x = 53,242,793,536/106,042
  6. Step 6: Final answer
    x = 502,091.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.