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Finding the Third Proportional to 66,896 and 91,116

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Solution

The third proportional to 66,896 and 91,116 is: 124,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,896 : 91,116 = 91,116 : x
  2. Step 2: Convert to fraction form
    66,896/91,116 = 91,116/x
  3. Step 3: Cross multiply
    66,896x = 91,116 × 91,116
  4. Step 4: Simplify right side
    66,896x = 8,302,125,456
  5. Step 5: Solve for x
    x = 8,302,125,456/66,896
  6. Step 6: Final answer
    x = 124,104.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.