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Finding the Third Proportional to 101,016 and 156,843

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Solution

The third proportional to 101,016 and 156,843 is: 243,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,016 : 156,843 = 156,843 : x
  2. Step 2: Convert to fraction form
    101,016/156,843 = 156,843/x
  3. Step 3: Cross multiply
    101,016x = 156,843 × 156,843
  4. Step 4: Simplify right side
    101,016x = 24,599,726,649
  5. Step 5: Solve for x
    x = 24,599,726,649/101,016
  6. Step 6: Final answer
    x = 243,523.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.