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Finding the Third Proportional to 70,971.75 and 106,758

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Solution

The third proportional to 70,971.75 and 106,758 is: 160,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.75 : 106,758 = 106,758 : x
  2. Step 2: Convert to fraction form
    70,971.75/106,758 = 106,758/x
  3. Step 3: Cross multiply
    70,971.75x = 106,758 × 106,758
  4. Step 4: Simplify right side
    70,971.75x = 11,397,270,564
  5. Step 5: Solve for x
    x = 11,397,270,564/70,971.75
  6. Step 6: Final answer
    x = 160,588.83

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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.