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Finding the Third Proportional to 72,969.75 and 158,712.75

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Solution

The third proportional to 72,969.75 and 158,712.75 is: 345,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,969.75 : 158,712.75 = 158,712.75 : x
  2. Step 2: Convert to fraction form
    72,969.75/158,712.75 = 158,712.75/x
  3. Step 3: Cross multiply
    72,969.75x = 158,712.75 × 158,712.75
  4. Step 4: Simplify right side
    72,969.75x = 25,189,737,012.56
  5. Step 5: Solve for x
    x = 25,189,737,012.56/72,969.75
  6. Step 6: Final answer
    x = 345,207.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.