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Finding the Third Proportional to 95,674 and 208,571

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Solution

The third proportional to 95,674 and 208,571 is: 454,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,674 : 208,571 = 208,571 : x
  2. Step 2: Convert to fraction form
    95,674/208,571 = 208,571/x
  3. Step 3: Cross multiply
    95,674x = 208,571 × 208,571
  4. Step 4: Simplify right side
    95,674x = 43,501,862,041
  5. Step 5: Solve for x
    x = 43,501,862,041/95,674
  6. Step 6: Final answer
    x = 454,688.44

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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.