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Finding the Third Proportional to 91,962 and 140,616

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Solution

The third proportional to 91,962 and 140,616 is: 215,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,962 : 140,616 = 140,616 : x
  2. Step 2: Convert to fraction form
    91,962/140,616 = 140,616/x
  3. Step 3: Cross multiply
    91,962x = 140,616 × 140,616
  4. Step 4: Simplify right side
    91,962x = 19,772,859,456
  5. Step 5: Solve for x
    x = 19,772,859,456/91,962
  6. Step 6: Final answer
    x = 215,011.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.