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Finding the Third Proportional to 89,086 and 136,990

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Solution

The third proportional to 89,086 and 136,990 is: 210,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,086 : 136,990 = 136,990 : x
  2. Step 2: Convert to fraction form
    89,086/136,990 = 136,990/x
  3. Step 3: Cross multiply
    89,086x = 136,990 × 136,990
  4. Step 4: Simplify right side
    89,086x = 18,766,260,100
  5. Step 5: Solve for x
    x = 18,766,260,100/89,086
  6. Step 6: Final answer
    x = 210,653.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.