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Finding the Third Proportional to 66,474 and 143,383

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Solution

The third proportional to 66,474 and 143,383 is: 309,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 143,383 = 143,383 : x
  2. Step 2: Convert to fraction form
    66,474/143,383 = 143,383/x
  3. Step 3: Cross multiply
    66,474x = 143,383 × 143,383
  4. Step 4: Simplify right side
    66,474x = 20,558,684,689
  5. Step 5: Solve for x
    x = 20,558,684,689/66,474
  6. Step 6: Final answer
    x = 309,274.07

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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.