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Finding the Third Proportional to 107,530 and 221,073

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Solution

The third proportional to 107,530 and 221,073 is: 454,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,530 : 221,073 = 221,073 : x
  2. Step 2: Convert to fraction form
    107,530/221,073 = 221,073/x
  3. Step 3: Cross multiply
    107,530x = 221,073 × 221,073
  4. Step 4: Simplify right side
    107,530x = 48,873,271,329
  5. Step 5: Solve for x
    x = 48,873,271,329/107,530
  6. Step 6: Final answer
    x = 454,508.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.