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Finding the Third Proportional to 54,584 and 82,861

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Solution

The third proportional to 54,584 and 82,861 is: 125,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,584 : 82,861 = 82,861 : x
  2. Step 2: Convert to fraction form
    54,584/82,861 = 82,861/x
  3. Step 3: Cross multiply
    54,584x = 82,861 × 82,861
  4. Step 4: Simplify right side
    54,584x = 6,865,945,321
  5. Step 5: Solve for x
    x = 6,865,945,321/54,584
  6. Step 6: Final answer
    x = 125,786.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.