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Finding the Third Proportional to 46,230 and 108,042

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Solution

The third proportional to 46,230 and 108,042 is: 252,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,230 : 108,042 = 108,042 : x
  2. Step 2: Convert to fraction form
    46,230/108,042 = 108,042/x
  3. Step 3: Cross multiply
    46,230x = 108,042 × 108,042
  4. Step 4: Simplify right side
    46,230x = 11,673,073,764
  5. Step 5: Solve for x
    x = 11,673,073,764/46,230
  6. Step 6: Final answer
    x = 252,499.97

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.