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Finding the Third Proportional to 70,791 and 106,733

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Solution

The third proportional to 70,791 and 106,733 is: 160,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,791 : 106,733 = 106,733 : x
  2. Step 2: Convert to fraction form
    70,791/106,733 = 106,733/x
  3. Step 3: Cross multiply
    70,791x = 106,733 × 106,733
  4. Step 4: Simplify right side
    70,791x = 11,391,933,289
  5. Step 5: Solve for x
    x = 11,391,933,289/70,791
  6. Step 6: Final answer
    x = 160,923.47

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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.