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Finding the Third Proportional to 102,996.50 and 159,161.50

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Solution

The third proportional to 102,996.50 and 159,161.50 is: 245,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996.50 : 159,161.50 = 159,161.50 : x
  2. Step 2: Convert to fraction form
    102,996.50/159,161.50 = 159,161.50/x
  3. Step 3: Cross multiply
    102,996.50x = 159,161.50 × 159,161.50
  4. Step 4: Simplify right side
    102,996.50x = 25,332,383,082.25
  5. Step 5: Solve for x
    x = 25,332,383,082.25/102,996.50
  6. Step 6: Final answer
    x = 245,953.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.