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Finding the Third Proportional to 100,490.50 and 159,960.50

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Solution

The third proportional to 100,490.50 and 159,960.50 is: 254,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,490.50 : 159,960.50 = 159,960.50 : x
  2. Step 2: Convert to fraction form
    100,490.50/159,960.50 = 159,960.50/x
  3. Step 3: Cross multiply
    100,490.50x = 159,960.50 × 159,960.50
  4. Step 4: Simplify right side
    100,490.50x = 25,587,361,560.25
  5. Step 5: Solve for x
    x = 25,587,361,560.25/100,490.50
  6. Step 6: Final answer
    x = 254,624.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.