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Finding the Third Proportional to 37,256 and 79,844

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Solution

The third proportional to 37,256 and 79,844 is: 171,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,256 : 79,844 = 79,844 : x
  2. Step 2: Convert to fraction form
    37,256/79,844 = 79,844/x
  3. Step 3: Cross multiply
    37,256x = 79,844 × 79,844
  4. Step 4: Simplify right side
    37,256x = 6,375,064,336
  5. Step 5: Solve for x
    x = 6,375,064,336/37,256
  6. Step 6: Final answer
    x = 171,115.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.