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Finding the Third Proportional to 76,167 and 113,913

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Solution

The third proportional to 76,167 and 113,913 is: 170,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167 : 113,913 = 113,913 : x
  2. Step 2: Convert to fraction form
    76,167/113,913 = 113,913/x
  3. Step 3: Cross multiply
    76,167x = 113,913 × 113,913
  4. Step 4: Simplify right side
    76,167x = 12,976,171,569
  5. Step 5: Solve for x
    x = 12,976,171,569/76,167
  6. Step 6: Final answer
    x = 170,364.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.