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Finding the Third Proportional to 82,954 and 125,967

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Solution

The third proportional to 82,954 and 125,967 is: 191,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954 : 125,967 = 125,967 : x
  2. Step 2: Convert to fraction form
    82,954/125,967 = 125,967/x
  3. Step 3: Cross multiply
    82,954x = 125,967 × 125,967
  4. Step 4: Simplify right side
    82,954x = 15,867,685,089
  5. Step 5: Solve for x
    x = 15,867,685,089/82,954
  6. Step 6: Final answer
    x = 191,282.94

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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.