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Finding the Third Proportional to 52,278.75 and 81,063.75

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Solution

The third proportional to 52,278.75 and 81,063.75 is: 125,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,278.75 : 81,063.75 = 81,063.75 : x
  2. Step 2: Convert to fraction form
    52,278.75/81,063.75 = 81,063.75/x
  3. Step 3: Cross multiply
    52,278.75x = 81,063.75 × 81,063.75
  4. Step 4: Simplify right side
    52,278.75x = 6,571,331,564.06
  5. Step 5: Solve for x
    x = 6,571,331,564.06/52,278.75
  6. Step 6: Final answer
    x = 125,697.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.