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Finding the Third Proportional to 37,099 and 75,493

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Solution

The third proportional to 37,099 and 75,493 is: 153,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099 : 75,493 = 75,493 : x
  2. Step 2: Convert to fraction form
    37,099/75,493 = 75,493/x
  3. Step 3: Cross multiply
    37,099x = 75,493 × 75,493
  4. Step 4: Simplify right side
    37,099x = 5,699,193,049
  5. Step 5: Solve for x
    x = 5,699,193,049/37,099
  6. Step 6: Final answer
    x = 153,621.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.