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Finding the Third Proportional to 71,152 and 106,917

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Solution

The third proportional to 71,152 and 106,917 is: 160,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152 : 106,917 = 106,917 : x
  2. Step 2: Convert to fraction form
    71,152/106,917 = 106,917/x
  3. Step 3: Cross multiply
    71,152x = 106,917 × 106,917
  4. Step 4: Simplify right side
    71,152x = 11,431,244,889
  5. Step 5: Solve for x
    x = 11,431,244,889/71,152
  6. Step 6: Final answer
    x = 160,659.50

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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.