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Finding the Third Proportional to 54,861 and 82,967

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Solution

The third proportional to 54,861 and 82,967 is: 125,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,861 : 82,967 = 82,967 : x
  2. Step 2: Convert to fraction form
    54,861/82,967 = 82,967/x
  3. Step 3: Cross multiply
    54,861x = 82,967 × 82,967
  4. Step 4: Simplify right side
    54,861x = 6,883,523,089
  5. Step 5: Solve for x
    x = 6,883,523,089/54,861
  6. Step 6: Final answer
    x = 125,472.07

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Why These Related Problems?

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