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Finding the Third Proportional to 76,634 and 115,689

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Solution

The third proportional to 76,634 and 115,689 is: 174,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634 : 115,689 = 115,689 : x
  2. Step 2: Convert to fraction form
    76,634/115,689 = 115,689/x
  3. Step 3: Cross multiply
    76,634x = 115,689 × 115,689
  4. Step 4: Simplify right side
    76,634x = 13,383,944,721
  5. Step 5: Solve for x
    x = 13,383,944,721/76,634
  6. Step 6: Final answer
    x = 174,647.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.