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Finding the Third Proportional to 50,215 and 107,102

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Solution

The third proportional to 50,215 and 107,102 is: 228,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,215 : 107,102 = 107,102 : x
  2. Step 2: Convert to fraction form
    50,215/107,102 = 107,102/x
  3. Step 3: Cross multiply
    50,215x = 107,102 × 107,102
  4. Step 4: Simplify right side
    50,215x = 11,470,838,404
  5. Step 5: Solve for x
    x = 11,470,838,404/50,215
  6. Step 6: Final answer
    x = 228,434.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.