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Finding the Third Proportional to 66,734 and 146,593

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Solution

The third proportional to 66,734 and 146,593 is: 322,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,734 : 146,593 = 146,593 : x
  2. Step 2: Convert to fraction form
    66,734/146,593 = 146,593/x
  3. Step 3: Cross multiply
    66,734x = 146,593 × 146,593
  4. Step 4: Simplify right side
    66,734x = 21,489,507,649
  5. Step 5: Solve for x
    x = 21,489,507,649/66,734
  6. Step 6: Final answer
    x = 322,017.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.