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Finding the Third Proportional to 72,837 and 158,914

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Solution

The third proportional to 72,837 and 158,914 is: 346,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,837 : 158,914 = 158,914 : x
  2. Step 2: Convert to fraction form
    72,837/158,914 = 158,914/x
  3. Step 3: Cross multiply
    72,837x = 158,914 × 158,914
  4. Step 4: Simplify right side
    72,837x = 25,253,659,396
  5. Step 5: Solve for x
    x = 25,253,659,396/72,837
  6. Step 6: Final answer
    x = 346,714.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.