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Finding the Third Proportional to 103,311.56 and 159,642.56

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Solution

The third proportional to 103,311.56 and 159,642.56 is: 246,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,311.56 : 159,642.56 = 159,642.56 : x
  2. Step 2: Convert to fraction form
    103,311.56/159,642.56 = 159,642.56/x
  3. Step 3: Cross multiply
    103,311.56x = 159,642.56 × 159,642.56
  4. Step 4: Simplify right side
    103,311.56x = 25,485,747,761.57
  5. Step 5: Solve for x
    x = 25,485,747,761.57/103,311.56
  6. Step 6: Final answer
    x = 246,688.24

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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.