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Finding the Third Proportional to 69,357 and 104,765

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Solution

The third proportional to 69,357 and 104,765 is: 158,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,357 : 104,765 = 104,765 : x
  2. Step 2: Convert to fraction form
    69,357/104,765 = 104,765/x
  3. Step 3: Cross multiply
    69,357x = 104,765 × 104,765
  4. Step 4: Simplify right side
    69,357x = 10,975,705,225
  5. Step 5: Solve for x
    x = 10,975,705,225/69,357
  6. Step 6: Final answer
    x = 158,249.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.