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Finding the Third Proportional to 51,786.84 and 79,969.78

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Solution

The third proportional to 51,786.84 and 79,969.78 is: 123,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,786.84 : 79,969.78 = 79,969.78 : x
  2. Step 2: Convert to fraction form
    51,786.84/79,969.78 = 79,969.78/x
  3. Step 3: Cross multiply
    51,786.84x = 79,969.78 × 79,969.78
  4. Step 4: Simplify right side
    51,786.84x = 6,395,165,913.17
  5. Step 5: Solve for x
    x = 6,395,165,913.17/51,786.84
  6. Step 6: Final answer
    x = 123,490.17

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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.