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Finding the Third Proportional to 73,122.75 and 158,238.56

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Solution

The third proportional to 73,122.75 and 158,238.56 is: 342,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122.75 : 158,238.56 = 158,238.56 : x
  2. Step 2: Convert to fraction form
    73,122.75/158,238.56 = 158,238.56/x
  3. Step 3: Cross multiply
    73,122.75x = 158,238.56 × 158,238.56
  4. Step 4: Simplify right side
    73,122.75x = 25,039,442,662.07
  5. Step 5: Solve for x
    x = 25,039,442,662.07/73,122.75
  6. Step 6: Final answer
    x = 342,430.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.