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Finding the Third Proportional to 71,806.50 and 111,673.69

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Solution

The third proportional to 71,806.50 and 111,673.69 is: 173,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,806.50 : 111,673.69 = 111,673.69 : x
  2. Step 2: Convert to fraction form
    71,806.50/111,673.69 = 111,673.69/x
  3. Step 3: Cross multiply
    71,806.50x = 111,673.69 × 111,673.69
  4. Step 4: Simplify right side
    71,806.50x = 12,471,012,479.85
  5. Step 5: Solve for x
    x = 12,471,012,479.85/71,806.50
  6. Step 6: Final answer
    x = 173,675.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.