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Finding the Third Proportional to 72,783 and 157,059

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Solution

The third proportional to 72,783 and 157,059 is: 338,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783 : 157,059 = 157,059 : x
  2. Step 2: Convert to fraction form
    72,783/157,059 = 157,059/x
  3. Step 3: Cross multiply
    72,783x = 157,059 × 157,059
  4. Step 4: Simplify right side
    72,783x = 24,667,529,481
  5. Step 5: Solve for x
    x = 24,667,529,481/72,783
  6. Step 6: Final answer
    x = 338,918.83

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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.