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Finding the Third Proportional to 34,722 and 75,717

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Solution

The third proportional to 34,722 and 75,717 is: 165,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722 : 75,717 = 75,717 : x
  2. Step 2: Convert to fraction form
    34,722/75,717 = 75,717/x
  3. Step 3: Cross multiply
    34,722x = 75,717 × 75,717
  4. Step 4: Simplify right side
    34,722x = 5,733,064,089
  5. Step 5: Solve for x
    x = 5,733,064,089/34,722
  6. Step 6: Final answer
    x = 165,113.30

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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.