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Finding the Third Proportional to 89,832 and 149,708

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Solution

The third proportional to 89,832 and 149,708 is: 249,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,832 : 149,708 = 149,708 : x
  2. Step 2: Convert to fraction form
    89,832/149,708 = 149,708/x
  3. Step 3: Cross multiply
    89,832x = 149,708 × 149,708
  4. Step 4: Simplify right side
    89,832x = 22,412,485,264
  5. Step 5: Solve for x
    x = 22,412,485,264/89,832
  6. Step 6: Final answer
    x = 249,493.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.