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Finding the Third Proportional to 66,422 and 143,341

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Solution

The third proportional to 66,422 and 143,341 is: 309,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,422 : 143,341 = 143,341 : x
  2. Step 2: Convert to fraction form
    66,422/143,341 = 143,341/x
  3. Step 3: Cross multiply
    66,422x = 143,341 × 143,341
  4. Step 4: Simplify right side
    66,422x = 20,546,642,281
  5. Step 5: Solve for x
    x = 20,546,642,281/66,422
  6. Step 6: Final answer
    x = 309,334.89

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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.