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Finding the Third Proportional to 52,127.58 and 113,610.66

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Solution

The third proportional to 52,127.58 and 113,610.66 is: 247,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,127.58 : 113,610.66 = 113,610.66 : x
  2. Step 2: Convert to fraction form
    52,127.58/113,610.66 = 113,610.66/x
  3. Step 3: Cross multiply
    52,127.58x = 113,610.66 × 113,610.66
  4. Step 4: Simplify right side
    52,127.58x = 12,907,381,213.56
  5. Step 5: Solve for x
    x = 12,907,381,213.56/52,127.58
  6. Step 6: Final answer
    x = 247,611.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.