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Finding the Third Proportional to 77,793 and 170,367

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Solution

The third proportional to 77,793 and 170,367 is: 373,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,793 : 170,367 = 170,367 : x
  2. Step 2: Convert to fraction form
    77,793/170,367 = 170,367/x
  3. Step 3: Cross multiply
    77,793x = 170,367 × 170,367
  4. Step 4: Simplify right side
    77,793x = 29,024,914,689
  5. Step 5: Solve for x
    x = 29,024,914,689/77,793
  6. Step 6: Final answer
    x = 373,104.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.