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Finding the Third Proportional to 72,960.75 and 157,170.38

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Solution

The third proportional to 72,960.75 and 157,170.38 is: 338,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,960.75 : 157,170.38 = 157,170.38 : x
  2. Step 2: Convert to fraction form
    72,960.75/157,170.38 = 157,170.38/x
  3. Step 3: Cross multiply
    72,960.75x = 157,170.38 × 157,170.38
  4. Step 4: Simplify right side
    72,960.75x = 24,702,526,777.64
  5. Step 5: Solve for x
    x = 24,702,526,777.64/72,960.75
  6. Step 6: Final answer
    x = 338,572.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.