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Finding the Third Proportional to 103,306.50 and 159,630.75

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Solution

The third proportional to 103,306.50 and 159,630.75 is: 246,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,306.50 : 159,630.75 = 159,630.75 : x
  2. Step 2: Convert to fraction form
    103,306.50/159,630.75 = 159,630.75/x
  3. Step 3: Cross multiply
    103,306.50x = 159,630.75 × 159,630.75
  4. Step 4: Simplify right side
    103,306.50x = 25,481,976,345.56
  5. Step 5: Solve for x
    x = 25,481,976,345.56/103,306.50
  6. Step 6: Final answer
    x = 246,663.82

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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.