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Finding the Third Proportional to 96,025.50 and 138,318.75

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Solution

The third proportional to 96,025.50 and 138,318.75 is: 199,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,025.50 : 138,318.75 = 138,318.75 : x
  2. Step 2: Convert to fraction form
    96,025.50/138,318.75 = 138,318.75/x
  3. Step 3: Cross multiply
    96,025.50x = 138,318.75 × 138,318.75
  4. Step 4: Simplify right side
    96,025.50x = 19,132,076,601.56
  5. Step 5: Solve for x
    x = 19,132,076,601.56/96,025.50
  6. Step 6: Final answer
    x = 199,239.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.