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Finding the Third Proportional to 50,902 and 109,328

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Solution

The third proportional to 50,902 and 109,328 is: 234,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902 : 109,328 = 109,328 : x
  2. Step 2: Convert to fraction form
    50,902/109,328 = 109,328/x
  3. Step 3: Cross multiply
    50,902x = 109,328 × 109,328
  4. Step 4: Simplify right side
    50,902x = 11,952,611,584
  5. Step 5: Solve for x
    x = 11,952,611,584/50,902
  6. Step 6: Final answer
    x = 234,816.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.