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Finding the Third Proportional to 73,834.50 and 110,823

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Solution

The third proportional to 73,834.50 and 110,823 is: 166,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,834.50 : 110,823 = 110,823 : x
  2. Step 2: Convert to fraction form
    73,834.50/110,823 = 110,823/x
  3. Step 3: Cross multiply
    73,834.50x = 110,823 × 110,823
  4. Step 4: Simplify right side
    73,834.50x = 12,281,737,329
  5. Step 5: Solve for x
    x = 12,281,737,329/73,834.50
  6. Step 6: Final answer
    x = 166,341.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.