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Finding the Third Proportional to 107,940 and 162,433

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Solution

The third proportional to 107,940 and 162,433 is: 244,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,940 : 162,433 = 162,433 : x
  2. Step 2: Convert to fraction form
    107,940/162,433 = 162,433/x
  3. Step 3: Cross multiply
    107,940x = 162,433 × 162,433
  4. Step 4: Simplify right side
    107,940x = 26,384,479,489
  5. Step 5: Solve for x
    x = 26,384,479,489/107,940
  6. Step 6: Final answer
    x = 244,436.53

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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.