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Finding the Third Proportional to 103,292.50 and 159,609.62

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Solution

The third proportional to 103,292.50 and 159,609.62 is: 246,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,292.50 : 159,609.62 = 159,609.62 : x
  2. Step 2: Convert to fraction form
    103,292.50/159,609.62 = 159,609.62/x
  3. Step 3: Cross multiply
    103,292.50x = 159,609.62 × 159,609.62
  4. Step 4: Simplify right side
    103,292.50x = 25,475,230,794.99
  5. Step 5: Solve for x
    x = 25,475,230,794.99/103,292.50
  6. Step 6: Final answer
    x = 246,631.95

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