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Finding the Third Proportional to 51,922.13 and 113,455.13

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Solution

The third proportional to 51,922.13 and 113,455.13 is: 247,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,922.13 : 113,455.13 = 113,455.13 : x
  2. Step 2: Convert to fraction form
    51,922.13/113,455.13 = 113,455.13/x
  3. Step 3: Cross multiply
    51,922.13x = 113,455.13 × 113,455.13
  4. Step 4: Simplify right side
    51,922.13x = 12,872,065,388.77
  5. Step 5: Solve for x
    x = 12,872,065,388.77/51,922.13
  6. Step 6: Final answer
    x = 247,910.99

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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.