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Finding the Third Proportional to 90,706 and 140,796

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Solution

The third proportional to 90,706 and 140,796 is: 218,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,706 : 140,796 = 140,796 : x
  2. Step 2: Convert to fraction form
    90,706/140,796 = 140,796/x
  3. Step 3: Cross multiply
    90,706x = 140,796 × 140,796
  4. Step 4: Simplify right side
    90,706x = 19,823,513,616
  5. Step 5: Solve for x
    x = 19,823,513,616/90,706
  6. Step 6: Final answer
    x = 218,546.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.