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Finding the Third Proportional to 66,627 and 141,885

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Solution

The third proportional to 66,627 and 141,885 is: 302,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,627 : 141,885 = 141,885 : x
  2. Step 2: Convert to fraction form
    66,627/141,885 = 141,885/x
  3. Step 3: Cross multiply
    66,627x = 141,885 × 141,885
  4. Step 4: Simplify right side
    66,627x = 20,131,353,225
  5. Step 5: Solve for x
    x = 20,131,353,225/66,627
  6. Step 6: Final answer
    x = 302,150.08

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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.