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Finding the Third Proportional to 34,702 and 75,231

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Solution

The third proportional to 34,702 and 75,231 is: 163,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702 : 75,231 = 75,231 : x
  2. Step 2: Convert to fraction form
    34,702/75,231 = 75,231/x
  3. Step 3: Cross multiply
    34,702x = 75,231 × 75,231
  4. Step 4: Simplify right side
    34,702x = 5,659,703,361
  5. Step 5: Solve for x
    x = 5,659,703,361/34,702
  6. Step 6: Final answer
    x = 163,094.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.