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Finding the Third Proportional to 35,134 and 76,238

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Solution

The third proportional to 35,134 and 76,238 is: 165,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,134 : 76,238 = 76,238 : x
  2. Step 2: Convert to fraction form
    35,134/76,238 = 76,238/x
  3. Step 3: Cross multiply
    35,134x = 76,238 × 76,238
  4. Step 4: Simplify right side
    35,134x = 5,812,232,644
  5. Step 5: Solve for x
    x = 5,812,232,644/35,134
  6. Step 6: Final answer
    x = 165,430.43

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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.