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Finding the Third Proportional to 124,794 and 188,784

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Solution

The third proportional to 124,794 and 188,784 is: 285,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,794 : 188,784 = 188,784 : x
  2. Step 2: Convert to fraction form
    124,794/188,784 = 188,784/x
  3. Step 3: Cross multiply
    124,794x = 188,784 × 188,784
  4. Step 4: Simplify right side
    124,794x = 35,639,398,656
  5. Step 5: Solve for x
    x = 35,639,398,656/124,794
  6. Step 6: Final answer
    x = 285,585.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.