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Finding the Third Proportional to 76,794 and 118,392

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Solution

The third proportional to 76,794 and 118,392 is: 182,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794 : 118,392 = 118,392 : x
  2. Step 2: Convert to fraction form
    76,794/118,392 = 118,392/x
  3. Step 3: Cross multiply
    76,794x = 118,392 × 118,392
  4. Step 4: Simplify right side
    76,794x = 14,016,665,664
  5. Step 5: Solve for x
    x = 14,016,665,664/76,794
  6. Step 6: Final answer
    x = 182,522.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.