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Finding the Third Proportional to 66,831 and 146,541

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Solution

The third proportional to 66,831 and 146,541 is: 321,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,831 : 146,541 = 146,541 : x
  2. Step 2: Convert to fraction form
    66,831/146,541 = 146,541/x
  3. Step 3: Cross multiply
    66,831x = 146,541 × 146,541
  4. Step 4: Simplify right side
    66,831x = 21,474,264,681
  5. Step 5: Solve for x
    x = 21,474,264,681/66,831
  6. Step 6: Final answer
    x = 321,321.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.