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Finding the Third Proportional to 51,399 and 112,113

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Solution

The third proportional to 51,399 and 112,113 is: 244,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,399 : 112,113 = 112,113 : x
  2. Step 2: Convert to fraction form
    51,399/112,113 = 112,113/x
  3. Step 3: Cross multiply
    51,399x = 112,113 × 112,113
  4. Step 4: Simplify right side
    51,399x = 12,569,324,769
  5. Step 5: Solve for x
    x = 12,569,324,769/51,399
  6. Step 6: Final answer
    x = 244,544.15

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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.