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Finding the Third Proportional to 51,734 and 112,945

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Solution

The third proportional to 51,734 and 112,945 is: 246,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734 : 112,945 = 112,945 : x
  2. Step 2: Convert to fraction form
    51,734/112,945 = 112,945/x
  3. Step 3: Cross multiply
    51,734x = 112,945 × 112,945
  4. Step 4: Simplify right side
    51,734x = 12,756,573,025
  5. Step 5: Solve for x
    x = 12,756,573,025/51,734
  6. Step 6: Final answer
    x = 246,580.06

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