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Finding the Third Proportional to 90,708 and 140,799

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Solution

The third proportional to 90,708 and 140,799 is: 218,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,708 : 140,799 = 140,799 : x
  2. Step 2: Convert to fraction form
    90,708/140,799 = 140,799/x
  3. Step 3: Cross multiply
    90,708x = 140,799 × 140,799
  4. Step 4: Simplify right side
    90,708x = 19,824,358,401
  5. Step 5: Solve for x
    x = 19,824,358,401/90,708
  6. Step 6: Final answer
    x = 218,551.38

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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.