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Finding the Third Proportional to 50,937 and 109,677

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Solution

The third proportional to 50,937 and 109,677 is: 236,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,937 : 109,677 = 109,677 : x
  2. Step 2: Convert to fraction form
    50,937/109,677 = 109,677/x
  3. Step 3: Cross multiply
    50,937x = 109,677 × 109,677
  4. Step 4: Simplify right side
    50,937x = 12,029,044,329
  5. Step 5: Solve for x
    x = 12,029,044,329/50,937
  6. Step 6: Final answer
    x = 236,155.34

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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.