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Finding the Third Proportional to 68,032 and 158,148

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Solution

The third proportional to 68,032 and 158,148 is: 367,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032 : 158,148 = 158,148 : x
  2. Step 2: Convert to fraction form
    68,032/158,148 = 158,148/x
  3. Step 3: Cross multiply
    68,032x = 158,148 × 158,148
  4. Step 4: Simplify right side
    68,032x = 25,010,789,904
  5. Step 5: Solve for x
    x = 25,010,789,904/68,032
  6. Step 6: Final answer
    x = 367,632.73

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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.