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Finding the Third Proportional to 83,784 and 125,856

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Solution

The third proportional to 83,784 and 125,856 is: 189,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784 : 125,856 = 125,856 : x
  2. Step 2: Convert to fraction form
    83,784/125,856 = 125,856/x
  3. Step 3: Cross multiply
    83,784x = 125,856 × 125,856
  4. Step 4: Simplify right side
    83,784x = 15,839,732,736
  5. Step 5: Solve for x
    x = 15,839,732,736/83,784
  6. Step 6: Final answer
    x = 189,054.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.