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Finding the Third Proportional to 52,786 and 109,941

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Solution

The third proportional to 52,786 and 109,941 is: 228,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,786 : 109,941 = 109,941 : x
  2. Step 2: Convert to fraction form
    52,786/109,941 = 109,941/x
  3. Step 3: Cross multiply
    52,786x = 109,941 × 109,941
  4. Step 4: Simplify right side
    52,786x = 12,087,023,481
  5. Step 5: Solve for x
    x = 12,087,023,481/52,786
  6. Step 6: Final answer
    x = 228,981.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.