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Finding the Third Proportional to 34,733 and 75,739

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Solution

The third proportional to 34,733 and 75,739 is: 165,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,733 : 75,739 = 75,739 : x
  2. Step 2: Convert to fraction form
    34,733/75,739 = 75,739/x
  3. Step 3: Cross multiply
    34,733x = 75,739 × 75,739
  4. Step 4: Simplify right side
    34,733x = 5,736,396,121
  5. Step 5: Solve for x
    x = 5,736,396,121/34,733
  6. Step 6: Final answer
    x = 165,156.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.