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Finding the Third Proportional to 85,754 and 183,814

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Solution

The third proportional to 85,754 and 183,814 is: 394,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,754 : 183,814 = 183,814 : x
  2. Step 2: Convert to fraction form
    85,754/183,814 = 183,814/x
  3. Step 3: Cross multiply
    85,754x = 183,814 × 183,814
  4. Step 4: Simplify right side
    85,754x = 33,787,586,596
  5. Step 5: Solve for x
    x = 33,787,586,596/85,754
  6. Step 6: Final answer
    x = 394,005.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.