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Finding the Third Proportional to 96,061 and 208,734

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Solution

The third proportional to 96,061 and 208,734 is: 453,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,061 : 208,734 = 208,734 : x
  2. Step 2: Convert to fraction form
    96,061/208,734 = 208,734/x
  3. Step 3: Cross multiply
    96,061x = 208,734 × 208,734
  4. Step 4: Simplify right side
    96,061x = 43,569,882,756
  5. Step 5: Solve for x
    x = 43,569,882,756/96,061
  6. Step 6: Final answer
    x = 453,564.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.