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Finding the Third Proportional to 43,110 and 93,016

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Solution

The third proportional to 43,110 and 93,016 is: 200,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,110 : 93,016 = 93,016 : x
  2. Step 2: Convert to fraction form
    43,110/93,016 = 93,016/x
  3. Step 3: Cross multiply
    43,110x = 93,016 × 93,016
  4. Step 4: Simplify right side
    43,110x = 8,651,976,256
  5. Step 5: Solve for x
    x = 8,651,976,256/43,110
  6. Step 6: Final answer
    x = 200,695.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.