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Finding the Third Proportional to 34,910 and 73,761

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Solution

The third proportional to 34,910 and 73,761 is: 155,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,910 : 73,761 = 73,761 : x
  2. Step 2: Convert to fraction form
    34,910/73,761 = 73,761/x
  3. Step 3: Cross multiply
    34,910x = 73,761 × 73,761
  4. Step 4: Simplify right side
    34,910x = 5,440,685,121
  5. Step 5: Solve for x
    x = 5,440,685,121/34,910
  6. Step 6: Final answer
    x = 155,848.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.