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Finding the Third Proportional to 52,928.50 and 75,234

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Solution

The third proportional to 52,928.50 and 75,234 is: 106,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928.50 : 75,234 = 75,234 : x
  2. Step 2: Convert to fraction form
    52,928.50/75,234 = 75,234/x
  3. Step 3: Cross multiply
    52,928.50x = 75,234 × 75,234
  4. Step 4: Simplify right side
    52,928.50x = 5,660,154,756
  5. Step 5: Solve for x
    x = 5,660,154,756/52,928.50
  6. Step 6: Final answer
    x = 106,939.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.