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Finding the Third Proportional to 52,496.25 and 80,688.75

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Solution

The third proportional to 52,496.25 and 80,688.75 is: 124,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,496.25 : 80,688.75 = 80,688.75 : x
  2. Step 2: Convert to fraction form
    52,496.25/80,688.75 = 80,688.75/x
  3. Step 3: Cross multiply
    52,496.25x = 80,688.75 × 80,688.75
  4. Step 4: Simplify right side
    52,496.25x = 6,510,674,376.56
  5. Step 5: Solve for x
    x = 6,510,674,376.56/52,496.25
  6. Step 6: Final answer
    x = 124,021.70

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