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Finding the Third Proportional to 51,677 and 109,503

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Solution

The third proportional to 51,677 and 109,503 is: 232,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,677 : 109,503 = 109,503 : x
  2. Step 2: Convert to fraction form
    51,677/109,503 = 109,503/x
  3. Step 3: Cross multiply
    51,677x = 109,503 × 109,503
  4. Step 4: Simplify right side
    51,677x = 11,990,907,009
  5. Step 5: Solve for x
    x = 11,990,907,009/51,677
  6. Step 6: Final answer
    x = 232,035.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.