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Finding the Third Proportional to 94,523 and 207,682

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Solution

The third proportional to 94,523 and 207,682 is: 456,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,523 : 207,682 = 207,682 : x
  2. Step 2: Convert to fraction form
    94,523/207,682 = 207,682/x
  3. Step 3: Cross multiply
    94,523x = 207,682 × 207,682
  4. Step 4: Simplify right side
    94,523x = 43,131,813,124
  5. Step 5: Solve for x
    x = 43,131,813,124/94,523
  6. Step 6: Final answer
    x = 456,310.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.