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Finding the Third Proportional to 67,856.80 and 89,231.31

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Solution

The third proportional to 67,856.80 and 89,231.31 is: 117,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,856.80 : 89,231.31 = 89,231.31 : x
  2. Step 2: Convert to fraction form
    67,856.80/89,231.31 = 89,231.31/x
  3. Step 3: Cross multiply
    67,856.80x = 89,231.31 × 89,231.31
  4. Step 4: Simplify right side
    67,856.80x = 7,962,226,433.35
  5. Step 5: Solve for x
    x = 7,962,226,433.35/67,856.80
  6. Step 6: Final answer
    x = 117,338.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.