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Finding the Third Proportional to 68,032 and 158,154

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Solution

The third proportional to 68,032 and 158,154 is: 367,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032 : 158,154 = 158,154 : x
  2. Step 2: Convert to fraction form
    68,032/158,154 = 158,154/x
  3. Step 3: Cross multiply
    68,032x = 158,154 × 158,154
  4. Step 4: Simplify right side
    68,032x = 25,012,687,716
  5. Step 5: Solve for x
    x = 25,012,687,716/68,032
  6. Step 6: Final answer
    x = 367,660.63

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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.