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Finding the Third Proportional to 52,898.06 and 113,074.73

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Solution

The third proportional to 52,898.06 and 113,074.73 is: 241,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,898.06 : 113,074.73 = 113,074.73 : x
  2. Step 2: Convert to fraction form
    52,898.06/113,074.73 = 113,074.73/x
  3. Step 3: Cross multiply
    52,898.06x = 113,074.73 × 113,074.73
  4. Step 4: Simplify right side
    52,898.06x = 12,785,895,553.98
  5. Step 5: Solve for x
    x = 12,785,895,553.98/52,898.06
  6. Step 6: Final answer
    x = 241,708.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.