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Finding the Third Proportional to 69,906 and 89,793

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Solution

The third proportional to 69,906 and 89,793 is: 115,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,906 : 89,793 = 89,793 : x
  2. Step 2: Convert to fraction form
    69,906/89,793 = 89,793/x
  3. Step 3: Cross multiply
    69,906x = 89,793 × 89,793
  4. Step 4: Simplify right side
    69,906x = 8,062,782,849
  5. Step 5: Solve for x
    x = 8,062,782,849/69,906
  6. Step 6: Final answer
    x = 115,337.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.