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Finding the Third Proportional to 52,756 and 75,571.25

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Solution

The third proportional to 52,756 and 75,571.25 is: 108,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,756 : 75,571.25 = 75,571.25 : x
  2. Step 2: Convert to fraction form
    52,756/75,571.25 = 75,571.25/x
  3. Step 3: Cross multiply
    52,756x = 75,571.25 × 75,571.25
  4. Step 4: Simplify right side
    52,756x = 5,711,013,826.56
  5. Step 5: Solve for x
    x = 5,711,013,826.56/52,756
  6. Step 6: Final answer
    x = 108,253.35

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.