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Finding the Third Proportional to 66,406 and 143,180

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Solution

The third proportional to 66,406 and 143,180 is: 308,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,406 : 143,180 = 143,180 : x
  2. Step 2: Convert to fraction form
    66,406/143,180 = 143,180/x
  3. Step 3: Cross multiply
    66,406x = 143,180 × 143,180
  4. Step 4: Simplify right side
    66,406x = 20,500,512,400
  5. Step 5: Solve for x
    x = 20,500,512,400/66,406
  6. Step 6: Final answer
    x = 308,714.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.