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Finding the Third Proportional to 75,903 and 113,238

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Solution

The third proportional to 75,903 and 113,238 is: 168,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,903 : 113,238 = 113,238 : x
  2. Step 2: Convert to fraction form
    75,903/113,238 = 113,238/x
  3. Step 3: Cross multiply
    75,903x = 113,238 × 113,238
  4. Step 4: Simplify right side
    75,903x = 12,822,844,644
  5. Step 5: Solve for x
    x = 12,822,844,644/75,903
  6. Step 6: Final answer
    x = 168,937.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.