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Finding the Third Proportional to 70,660.50 and 144,561

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Solution

The third proportional to 70,660.50 and 144,561 is: 295,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,660.50 : 144,561 = 144,561 : x
  2. Step 2: Convert to fraction form
    70,660.50/144,561 = 144,561/x
  3. Step 3: Cross multiply
    70,660.50x = 144,561 × 144,561
  4. Step 4: Simplify right side
    70,660.50x = 20,897,882,721
  5. Step 5: Solve for x
    x = 20,897,882,721/70,660.50
  6. Step 6: Final answer
    x = 295,750.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.