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Finding the Third Proportional to 72,456.75 and 154,543.25

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Solution

The third proportional to 72,456.75 and 154,543.25 is: 329,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,456.75 : 154,543.25 = 154,543.25 : x
  2. Step 2: Convert to fraction form
    72,456.75/154,543.25 = 154,543.25/x
  3. Step 3: Cross multiply
    72,456.75x = 154,543.25 × 154,543.25
  4. Step 4: Simplify right side
    72,456.75x = 23,883,616,120.56
  5. Step 5: Solve for x
    x = 23,883,616,120.56/72,456.75
  6. Step 6: Final answer
    x = 329,625.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.