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Finding the Third Proportional to 67,617 and 126,774

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Solution

The third proportional to 67,617 and 126,774 is: 237,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,617 : 126,774 = 126,774 : x
  2. Step 2: Convert to fraction form
    67,617/126,774 = 126,774/x
  3. Step 3: Cross multiply
    67,617x = 126,774 × 126,774
  4. Step 4: Simplify right side
    67,617x = 16,071,647,076
  5. Step 5: Solve for x
    x = 16,071,647,076/67,617
  6. Step 6: Final answer
    x = 237,686.49

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.