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Finding the Third Proportional to 43,784 and 90,682

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Solution

The third proportional to 43,784 and 90,682 is: 187,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,784 : 90,682 = 90,682 : x
  2. Step 2: Convert to fraction form
    43,784/90,682 = 90,682/x
  3. Step 3: Cross multiply
    43,784x = 90,682 × 90,682
  4. Step 4: Simplify right side
    43,784x = 8,223,225,124
  5. Step 5: Solve for x
    x = 8,223,225,124/43,784
  6. Step 6: Final answer
    x = 187,813.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.