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Finding the Third Proportional to 74,016 and 158,608

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Solution

The third proportional to 74,016 and 158,608 is: 339,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016 : 158,608 = 158,608 : x
  2. Step 2: Convert to fraction form
    74,016/158,608 = 158,608/x
  3. Step 3: Cross multiply
    74,016x = 158,608 × 158,608
  4. Step 4: Simplify right side
    74,016x = 25,156,497,664
  5. Step 5: Solve for x
    x = 25,156,497,664/74,016
  6. Step 6: Final answer
    x = 339,879.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.