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Finding the Third Proportional to 37,504 and 79,226

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Solution

The third proportional to 37,504 and 79,226 is: 167,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,504 : 79,226 = 79,226 : x
  2. Step 2: Convert to fraction form
    37,504/79,226 = 79,226/x
  3. Step 3: Cross multiply
    37,504x = 79,226 × 79,226
  4. Step 4: Simplify right side
    37,504x = 6,276,759,076
  5. Step 5: Solve for x
    x = 6,276,759,076/37,504
  6. Step 6: Final answer
    x = 167,362.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.