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Finding the Third Proportional to 51,299.75 and 81,953.75

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Solution

The third proportional to 51,299.75 and 81,953.75 is: 130,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,299.75 : 81,953.75 = 81,953.75 : x
  2. Step 2: Convert to fraction form
    51,299.75/81,953.75 = 81,953.75/x
  3. Step 3: Cross multiply
    51,299.75x = 81,953.75 × 81,953.75
  4. Step 4: Simplify right side
    51,299.75x = 6,716,417,139.06
  5. Step 5: Solve for x
    x = 6,716,417,139.06/51,299.75
  6. Step 6: Final answer
    x = 130,924.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.