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Finding the Third Proportional to 37,098 and 79,956

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Solution

The third proportional to 37,098 and 79,956 is: 172,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 79,956 = 79,956 : x
  2. Step 2: Convert to fraction form
    37,098/79,956 = 79,956/x
  3. Step 3: Cross multiply
    37,098x = 79,956 × 79,956
  4. Step 4: Simplify right side
    37,098x = 6,392,961,936
  5. Step 5: Solve for x
    x = 6,392,961,936/37,098
  6. Step 6: Final answer
    x = 172,326.32

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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.