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Finding the Third Proportional to 100,132 and 139,992

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Solution

The third proportional to 100,132 and 139,992 is: 195,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,132 : 139,992 = 139,992 : x
  2. Step 2: Convert to fraction form
    100,132/139,992 = 139,992/x
  3. Step 3: Cross multiply
    100,132x = 139,992 × 139,992
  4. Step 4: Simplify right side
    100,132x = 19,597,760,064
  5. Step 5: Solve for x
    x = 19,597,760,064/100,132
  6. Step 6: Final answer
    x = 195,719.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.