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Finding the Third Proportional to 52,529.50 and 80,738.50

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Solution

The third proportional to 52,529.50 and 80,738.50 is: 124,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,529.50 : 80,738.50 = 80,738.50 : x
  2. Step 2: Convert to fraction form
    52,529.50/80,738.50 = 80,738.50/x
  3. Step 3: Cross multiply
    52,529.50x = 80,738.50 × 80,738.50
  4. Step 4: Simplify right side
    52,529.50x = 6,518,705,382.25
  5. Step 5: Solve for x
    x = 6,518,705,382.25/52,529.50
  6. Step 6: Final answer
    x = 124,096.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.