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Finding the Third Proportional to 94,627 and 206,965

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Solution

The third proportional to 94,627 and 206,965 is: 452,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,627 : 206,965 = 206,965 : x
  2. Step 2: Convert to fraction form
    94,627/206,965 = 206,965/x
  3. Step 3: Cross multiply
    94,627x = 206,965 × 206,965
  4. Step 4: Simplify right side
    94,627x = 42,834,511,225
  5. Step 5: Solve for x
    x = 42,834,511,225/94,627
  6. Step 6: Final answer
    x = 452,666.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.