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Finding the Third Proportional to 70,515 and 109,238

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Solution

The third proportional to 70,515 and 109,238 is: 169,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,515 : 109,238 = 109,238 : x
  2. Step 2: Convert to fraction form
    70,515/109,238 = 109,238/x
  3. Step 3: Cross multiply
    70,515x = 109,238 × 109,238
  4. Step 4: Simplify right side
    70,515x = 11,932,940,644
  5. Step 5: Solve for x
    x = 11,932,940,644/70,515
  6. Step 6: Final answer
    x = 169,225.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.