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Finding the Third Proportional to 51,742 and 113,170

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Solution

The third proportional to 51,742 and 113,170 is: 247,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,742 : 113,170 = 113,170 : x
  2. Step 2: Convert to fraction form
    51,742/113,170 = 113,170/x
  3. Step 3: Cross multiply
    51,742x = 113,170 × 113,170
  4. Step 4: Simplify right side
    51,742x = 12,807,448,900
  5. Step 5: Solve for x
    x = 12,807,448,900/51,742
  6. Step 6: Final answer
    x = 247,525.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.