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Finding the Third Proportional to 95,675 and 208,573

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Solution

The third proportional to 95,675 and 208,573 is: 454,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,675 : 208,573 = 208,573 : x
  2. Step 2: Convert to fraction form
    95,675/208,573 = 208,573/x
  3. Step 3: Cross multiply
    95,675x = 208,573 × 208,573
  4. Step 4: Simplify right side
    95,675x = 43,502,696,329
  5. Step 5: Solve for x
    x = 43,502,696,329/95,675
  6. Step 6: Final answer
    x = 454,692.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.