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Finding the Third Proportional to 51,912.95 and 113,434.34

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Solution

The third proportional to 51,912.95 and 113,434.34 is: 247,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912.95 : 113,434.34 = 113,434.34 : x
  2. Step 2: Convert to fraction form
    51,912.95/113,434.34 = 113,434.34/x
  3. Step 3: Cross multiply
    51,912.95x = 113,434.34 × 113,434.34
  4. Step 4: Simplify right side
    51,912.95x = 12,867,349,483.48
  5. Step 5: Solve for x
    x = 12,867,349,483.48/51,912.95
  6. Step 6: Final answer
    x = 247,863.96

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