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Finding the Third Proportional to 39,954 and 87,060

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Solution

The third proportional to 39,954 and 87,060 is: 189,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,954 : 87,060 = 87,060 : x
  2. Step 2: Convert to fraction form
    39,954/87,060 = 87,060/x
  3. Step 3: Cross multiply
    39,954x = 87,060 × 87,060
  4. Step 4: Simplify right side
    39,954x = 7,579,443,600
  5. Step 5: Solve for x
    x = 7,579,443,600/39,954
  6. Step 6: Final answer
    x = 189,704.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.