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Finding the Third Proportional to 50,902 and 109,609

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Solution

The third proportional to 50,902 and 109,609 is: 236,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902 : 109,609 = 109,609 : x
  2. Step 2: Convert to fraction form
    50,902/109,609 = 109,609/x
  3. Step 3: Cross multiply
    50,902x = 109,609 × 109,609
  4. Step 4: Simplify right side
    50,902x = 12,014,132,881
  5. Step 5: Solve for x
    x = 12,014,132,881/50,902
  6. Step 6: Final answer
    x = 236,024.77

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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.