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Finding the Third Proportional to 68,022 and 158,129

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Solution

The third proportional to 68,022 and 158,129 is: 367,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,022 : 158,129 = 158,129 : x
  2. Step 2: Convert to fraction form
    68,022/158,129 = 158,129/x
  3. Step 3: Cross multiply
    68,022x = 158,129 × 158,129
  4. Step 4: Simplify right side
    68,022x = 25,004,780,641
  5. Step 5: Solve for x
    x = 25,004,780,641/68,022
  6. Step 6: Final answer
    x = 367,598.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.