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Finding the Third Proportional to 101,550 and 158,109

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Solution

The third proportional to 101,550 and 158,109 is: 246,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,550 : 158,109 = 158,109 : x
  2. Step 2: Convert to fraction form
    101,550/158,109 = 158,109/x
  3. Step 3: Cross multiply
    101,550x = 158,109 × 158,109
  4. Step 4: Simplify right side
    101,550x = 24,998,455,881
  5. Step 5: Solve for x
    x = 24,998,455,881/101,550
  6. Step 6: Final answer
    x = 246,168.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.