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Finding the Third Proportional to 66,732 and 146,589

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Solution

The third proportional to 66,732 and 146,589 is: 322,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,732 : 146,589 = 146,589 : x
  2. Step 2: Convert to fraction form
    66,732/146,589 = 146,589/x
  3. Step 3: Cross multiply
    66,732x = 146,589 × 146,589
  4. Step 4: Simplify right side
    66,732x = 21,488,334,921
  5. Step 5: Solve for x
    x = 21,488,334,921/66,732
  6. Step 6: Final answer
    x = 322,009.45

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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.