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Finding the Third Proportional to 69,540 and 149,563

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Solution

The third proportional to 69,540 and 149,563 is: 321,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,540 : 149,563 = 149,563 : x
  2. Step 2: Convert to fraction form
    69,540/149,563 = 149,563/x
  3. Step 3: Cross multiply
    69,540x = 149,563 × 149,563
  4. Step 4: Simplify right side
    69,540x = 22,369,090,969
  5. Step 5: Solve for x
    x = 22,369,090,969/69,540
  6. Step 6: Final answer
    x = 321,672.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.