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Finding the Third Proportional to 76,799 and 119,195

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Solution

The third proportional to 76,799 and 119,195 is: 184,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,799 : 119,195 = 119,195 : x
  2. Step 2: Convert to fraction form
    76,799/119,195 = 119,195/x
  3. Step 3: Cross multiply
    76,799x = 119,195 × 119,195
  4. Step 4: Simplify right side
    76,799x = 14,207,448,025
  5. Step 5: Solve for x
    x = 14,207,448,025/76,799
  6. Step 6: Final answer
    x = 184,995.22

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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.