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Finding the Third Proportional to 85,199 and 133,663

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Solution

The third proportional to 85,199 and 133,663 is: 209,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,199 : 133,663 = 133,663 : x
  2. Step 2: Convert to fraction form
    85,199/133,663 = 133,663/x
  3. Step 3: Cross multiply
    85,199x = 133,663 × 133,663
  4. Step 4: Simplify right side
    85,199x = 17,865,797,569
  5. Step 5: Solve for x
    x = 17,865,797,569/85,199
  6. Step 6: Final answer
    x = 209,694.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.