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Finding the Third Proportional to 109,942 and 167,099

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Solution

The third proportional to 109,942 and 167,099 is: 253,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,942 : 167,099 = 167,099 : x
  2. Step 2: Convert to fraction form
    109,942/167,099 = 167,099/x
  3. Step 3: Cross multiply
    109,942x = 167,099 × 167,099
  4. Step 4: Simplify right side
    109,942x = 27,922,075,801
  5. Step 5: Solve for x
    x = 27,922,075,801/109,942
  6. Step 6: Final answer
    x = 253,970.96

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