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Finding the Third Proportional to 50,238 and 109,215

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Solution

The third proportional to 50,238 and 109,215 is: 237,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,238 : 109,215 = 109,215 : x
  2. Step 2: Convert to fraction form
    50,238/109,215 = 109,215/x
  3. Step 3: Cross multiply
    50,238x = 109,215 × 109,215
  4. Step 4: Simplify right side
    50,238x = 11,927,916,225
  5. Step 5: Solve for x
    x = 11,927,916,225/50,238
  6. Step 6: Final answer
    x = 237,428.17

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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.