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Finding the Third Proportional to 37,290 and 79,899

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Solution

The third proportional to 37,290 and 79,899 is: 171,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,290 : 79,899 = 79,899 : x
  2. Step 2: Convert to fraction form
    37,290/79,899 = 79,899/x
  3. Step 3: Cross multiply
    37,290x = 79,899 × 79,899
  4. Step 4: Simplify right side
    37,290x = 6,383,850,201
  5. Step 5: Solve for x
    x = 6,383,850,201/37,290
  6. Step 6: Final answer
    x = 171,194.70

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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.