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Finding the Third Proportional to 66,793 and 157,678

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Solution

The third proportional to 66,793 and 157,678 is: 372,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,793 : 157,678 = 157,678 : x
  2. Step 2: Convert to fraction form
    66,793/157,678 = 157,678/x
  3. Step 3: Cross multiply
    66,793x = 157,678 × 157,678
  4. Step 4: Simplify right side
    66,793x = 24,862,351,684
  5. Step 5: Solve for x
    x = 24,862,351,684/66,793
  6. Step 6: Final answer
    x = 372,229.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.