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Finding the Third Proportional to 51,924 and 78,234

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Solution

The third proportional to 51,924 and 78,234 is: 117,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,924 : 78,234 = 78,234 : x
  2. Step 2: Convert to fraction form
    51,924/78,234 = 78,234/x
  3. Step 3: Cross multiply
    51,924x = 78,234 × 78,234
  4. Step 4: Simplify right side
    51,924x = 6,120,558,756
  5. Step 5: Solve for x
    x = 6,120,558,756/51,924
  6. Step 6: Final answer
    x = 117,875.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.