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Finding the Third Proportional to 68,114 and 101,199

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Solution

The third proportional to 68,114 and 101,199 is: 150,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114 : 101,199 = 101,199 : x
  2. Step 2: Convert to fraction form
    68,114/101,199 = 101,199/x
  3. Step 3: Cross multiply
    68,114x = 101,199 × 101,199
  4. Step 4: Simplify right side
    68,114x = 10,241,237,601
  5. Step 5: Solve for x
    x = 10,241,237,601/68,114
  6. Step 6: Final answer
    x = 150,354.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.