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Finding the Third Proportional to 76,802 and 120,219

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Solution

The third proportional to 76,802 and 120,219 is: 188,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802 : 120,219 = 120,219 : x
  2. Step 2: Convert to fraction form
    76,802/120,219 = 120,219/x
  3. Step 3: Cross multiply
    76,802x = 120,219 × 120,219
  4. Step 4: Simplify right side
    76,802x = 14,452,607,961
  5. Step 5: Solve for x
    x = 14,452,607,961/76,802
  6. Step 6: Final answer
    x = 188,180.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.