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Finding the Third Proportional to 66,729 and 146,583

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Solution

The third proportional to 66,729 and 146,583 is: 321,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,729 : 146,583 = 146,583 : x
  2. Step 2: Convert to fraction form
    66,729/146,583 = 146,583/x
  3. Step 3: Cross multiply
    66,729x = 146,583 × 146,583
  4. Step 4: Simplify right side
    66,729x = 21,486,575,889
  5. Step 5: Solve for x
    x = 21,486,575,889/66,729
  6. Step 6: Final answer
    x = 321,997.57

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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.