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Finding the Third Proportional to 55,544 and 86,596

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Solution

The third proportional to 55,544 and 86,596 is: 135,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,544 : 86,596 = 86,596 : x
  2. Step 2: Convert to fraction form
    55,544/86,596 = 86,596/x
  3. Step 3: Cross multiply
    55,544x = 86,596 × 86,596
  4. Step 4: Simplify right side
    55,544x = 7,498,867,216
  5. Step 5: Solve for x
    x = 7,498,867,216/55,544
  6. Step 6: Final answer
    x = 135,007.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.