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Finding the Third Proportional to 66,652 and 141,790

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Solution

The third proportional to 66,652 and 141,790 is: 301,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,652 : 141,790 = 141,790 : x
  2. Step 2: Convert to fraction form
    66,652/141,790 = 141,790/x
  3. Step 3: Cross multiply
    66,652x = 141,790 × 141,790
  4. Step 4: Simplify right side
    66,652x = 20,104,404,100
  5. Step 5: Solve for x
    x = 20,104,404,100/66,652
  6. Step 6: Final answer
    x = 301,632.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.