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Finding the Third Proportional to 35,219 and 72,059

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Solution

The third proportional to 35,219 and 72,059 is: 147,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219 : 72,059 = 72,059 : x
  2. Step 2: Convert to fraction form
    35,219/72,059 = 72,059/x
  3. Step 3: Cross multiply
    35,219x = 72,059 × 72,059
  4. Step 4: Simplify right side
    35,219x = 5,192,499,481
  5. Step 5: Solve for x
    x = 5,192,499,481/35,219
  6. Step 6: Final answer
    x = 147,434.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.