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Finding the Third Proportional to 69,885 and 93,109

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Solution

The third proportional to 69,885 and 93,109 is: 124,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,885 : 93,109 = 93,109 : x
  2. Step 2: Convert to fraction form
    69,885/93,109 = 93,109/x
  3. Step 3: Cross multiply
    69,885x = 93,109 × 93,109
  4. Step 4: Simplify right side
    69,885x = 8,669,285,881
  5. Step 5: Solve for x
    x = 8,669,285,881/69,885
  6. Step 6: Final answer
    x = 124,050.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.