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Finding the Third Proportional to 56,943.84 and 122,634.84

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Solution

The third proportional to 56,943.84 and 122,634.84 is: 264,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,943.84 : 122,634.84 = 122,634.84 : x
  2. Step 2: Convert to fraction form
    56,943.84/122,634.84 = 122,634.84/x
  3. Step 3: Cross multiply
    56,943.84x = 122,634.84 × 122,634.84
  4. Step 4: Simplify right side
    56,943.84x = 15,039,304,901.59
  5. Step 5: Solve for x
    x = 15,039,304,901.59/56,943.84
  6. Step 6: Final answer
    x = 264,107.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.