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Finding the Third Proportional to 68,912 and 91,864

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Solution

The third proportional to 68,912 and 91,864 is: 122,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,912 : 91,864 = 91,864 : x
  2. Step 2: Convert to fraction form
    68,912/91,864 = 91,864/x
  3. Step 3: Cross multiply
    68,912x = 91,864 × 91,864
  4. Step 4: Simplify right side
    68,912x = 8,438,994,496
  5. Step 5: Solve for x
    x = 8,438,994,496/68,912
  6. Step 6: Final answer
    x = 122,460.45

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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.