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Finding the Third Proportional to 37,072 and 79,904

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Solution

The third proportional to 37,072 and 79,904 is: 172,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072 : 79,904 = 79,904 : x
  2. Step 2: Convert to fraction form
    37,072/79,904 = 79,904/x
  3. Step 3: Cross multiply
    37,072x = 79,904 × 79,904
  4. Step 4: Simplify right side
    37,072x = 6,384,649,216
  5. Step 5: Solve for x
    x = 6,384,649,216/37,072
  6. Step 6: Final answer
    x = 172,222.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.