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Finding the Third Proportional to 55,595 and 81,922

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Solution

The third proportional to 55,595 and 81,922 is: 120,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,595 : 81,922 = 81,922 : x
  2. Step 2: Convert to fraction form
    55,595/81,922 = 81,922/x
  3. Step 3: Cross multiply
    55,595x = 81,922 × 81,922
  4. Step 4: Simplify right side
    55,595x = 6,711,214,084
  5. Step 5: Solve for x
    x = 6,711,214,084/55,595
  6. Step 6: Final answer
    x = 120,716.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.