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Finding the Third Proportional to 94,601 and 206,959

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Solution

The third proportional to 94,601 and 206,959 is: 452,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,601 : 206,959 = 206,959 : x
  2. Step 2: Convert to fraction form
    94,601/206,959 = 206,959/x
  3. Step 3: Cross multiply
    94,601x = 206,959 × 206,959
  4. Step 4: Simplify right side
    94,601x = 42,832,027,681
  5. Step 5: Solve for x
    x = 42,832,027,681/94,601
  6. Step 6: Final answer
    x = 452,765.06

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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.