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Finding the Third Proportional to 68,026 and 158,852

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Solution

The third proportional to 68,026 and 158,852 is: 370,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,026 : 158,852 = 158,852 : x
  2. Step 2: Convert to fraction form
    68,026/158,852 = 158,852/x
  3. Step 3: Cross multiply
    68,026x = 158,852 × 158,852
  4. Step 4: Simplify right side
    68,026x = 25,233,957,904
  5. Step 5: Solve for x
    x = 25,233,957,904/68,026
  6. Step 6: Final answer
    x = 370,945.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.