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Finding the Third Proportional to 110,666 and 159,087

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Solution

The third proportional to 110,666 and 159,087 is: 228,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,666 : 159,087 = 159,087 : x
  2. Step 2: Convert to fraction form
    110,666/159,087 = 159,087/x
  3. Step 3: Cross multiply
    110,666x = 159,087 × 159,087
  4. Step 4: Simplify right side
    110,666x = 25,308,673,569
  5. Step 5: Solve for x
    x = 25,308,673,569/110,666
  6. Step 6: Final answer
    x = 228,694.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.