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Finding the Third Proportional to 92,016 and 139,662

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Solution

The third proportional to 92,016 and 139,662 is: 211,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,016 : 139,662 = 139,662 : x
  2. Step 2: Convert to fraction form
    92,016/139,662 = 139,662/x
  3. Step 3: Cross multiply
    92,016x = 139,662 × 139,662
  4. Step 4: Simplify right side
    92,016x = 19,505,474,244
  5. Step 5: Solve for x
    x = 19,505,474,244/92,016
  6. Step 6: Final answer
    x = 211,979.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.