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Finding the Third Proportional to 90,654 and 140,718

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Solution

The third proportional to 90,654 and 140,718 is: 218,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,654 : 140,718 = 140,718 : x
  2. Step 2: Convert to fraction form
    90,654/140,718 = 140,718/x
  3. Step 3: Cross multiply
    90,654x = 140,718 × 140,718
  4. Step 4: Simplify right side
    90,654x = 19,801,555,524
  5. Step 5: Solve for x
    x = 19,801,555,524/90,654
  6. Step 6: Final answer
    x = 218,430.03

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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.