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Finding the Third Proportional to 106,639.50 and 160,233

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Solution

The third proportional to 106,639.50 and 160,233 is: 240,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,639.50 : 160,233 = 160,233 : x
  2. Step 2: Convert to fraction form
    106,639.50/160,233 = 160,233/x
  3. Step 3: Cross multiply
    106,639.50x = 160,233 × 160,233
  4. Step 4: Simplify right side
    106,639.50x = 25,674,614,289
  5. Step 5: Solve for x
    x = 25,674,614,289/106,639.50
  6. Step 6: Final answer
    x = 240,760.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.