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Finding the Third Proportional to 103,288.50 and 159,489

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Solution

The third proportional to 103,288.50 and 159,489 is: 246,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,288.50 : 159,489 = 159,489 : x
  2. Step 2: Convert to fraction form
    103,288.50/159,489 = 159,489/x
  3. Step 3: Cross multiply
    103,288.50x = 159,489 × 159,489
  4. Step 4: Simplify right side
    103,288.50x = 25,436,741,121
  5. Step 5: Solve for x
    x = 25,436,741,121/103,288.50
  6. Step 6: Final answer
    x = 246,268.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.