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Finding the Third Proportional to 85,069 and 126,774

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Solution

The third proportional to 85,069 and 126,774 is: 188,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,069 : 126,774 = 126,774 : x
  2. Step 2: Convert to fraction form
    85,069/126,774 = 126,774/x
  3. Step 3: Cross multiply
    85,069x = 126,774 × 126,774
  4. Step 4: Simplify right side
    85,069x = 16,071,647,076
  5. Step 5: Solve for x
    x = 16,071,647,076/85,069
  6. Step 6: Final answer
    x = 188,924.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.