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Finding the Third Proportional to 40,938 and 89,680

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Solution

The third proportional to 40,938 and 89,680 is: 196,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,938 : 89,680 = 89,680 : x
  2. Step 2: Convert to fraction form
    40,938/89,680 = 89,680/x
  3. Step 3: Cross multiply
    40,938x = 89,680 × 89,680
  4. Step 4: Simplify right side
    40,938x = 8,042,502,400
  5. Step 5: Solve for x
    x = 8,042,502,400/40,938
  6. Step 6: Final answer
    x = 196,455.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.