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Finding the Third Proportional to 72,807.75 and 155,738.75

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Solution

The third proportional to 72,807.75 and 155,738.75 is: 333,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.75 : 155,738.75 = 155,738.75 : x
  2. Step 2: Convert to fraction form
    72,807.75/155,738.75 = 155,738.75/x
  3. Step 3: Cross multiply
    72,807.75x = 155,738.75 × 155,738.75
  4. Step 4: Simplify right side
    72,807.75x = 24,254,558,251.56
  5. Step 5: Solve for x
    x = 24,254,558,251.56/72,807.75
  6. Step 6: Final answer
    x = 333,131.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.