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Finding the Third Proportional to 55,992 and 86,698

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Solution

The third proportional to 55,992 and 86,698 is: 134,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,992 : 86,698 = 86,698 : x
  2. Step 2: Convert to fraction form
    55,992/86,698 = 86,698/x
  3. Step 3: Cross multiply
    55,992x = 86,698 × 86,698
  4. Step 4: Simplify right side
    55,992x = 7,516,543,204
  5. Step 5: Solve for x
    x = 7,516,543,204/55,992
  6. Step 6: Final answer
    x = 134,243.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.