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Finding the Third Proportional to 96,486 and 149,104

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Solution

The third proportional to 96,486 and 149,104 is: 230,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,486 : 149,104 = 149,104 : x
  2. Step 2: Convert to fraction form
    96,486/149,104 = 149,104/x
  3. Step 3: Cross multiply
    96,486x = 149,104 × 149,104
  4. Step 4: Simplify right side
    96,486x = 22,232,002,816
  5. Step 5: Solve for x
    x = 22,232,002,816/96,486
  6. Step 6: Final answer
    x = 230,416.88

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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.