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Finding the Third Proportional to 105,134 and 158,795

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Solution

The third proportional to 105,134 and 158,795 is: 239,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,134 : 158,795 = 158,795 : x
  2. Step 2: Convert to fraction form
    105,134/158,795 = 158,795/x
  3. Step 3: Cross multiply
    105,134x = 158,795 × 158,795
  4. Step 4: Simplify right side
    105,134x = 25,215,852,025
  5. Step 5: Solve for x
    x = 25,215,852,025/105,134
  6. Step 6: Final answer
    x = 239,844.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.