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Finding the Third Proportional to 101,072 and 158,079

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Solution

The third proportional to 101,072 and 158,079 is: 247,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,072 : 158,079 = 158,079 : x
  2. Step 2: Convert to fraction form
    101,072/158,079 = 158,079/x
  3. Step 3: Cross multiply
    101,072x = 158,079 × 158,079
  4. Step 4: Simplify right side
    101,072x = 24,988,970,241
  5. Step 5: Solve for x
    x = 24,988,970,241/101,072
  6. Step 6: Final answer
    x = 247,239.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.