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Finding the Third Proportional to 52,930.97 and 113,225.34

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Solution

The third proportional to 52,930.97 and 113,225.34 is: 242,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,930.97 : 113,225.34 = 113,225.34 : x
  2. Step 2: Convert to fraction form
    52,930.97/113,225.34 = 113,225.34/x
  3. Step 3: Cross multiply
    52,930.97x = 113,225.34 × 113,225.34
  4. Step 4: Simplify right side
    52,930.97x = 12,819,978,467.31
  5. Step 5: Solve for x
    x = 12,819,978,467.31/52,930.97
  6. Step 6: Final answer
    x = 242,201.85

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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.