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Finding the Third Proportional to 34,595 and 76,138

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Solution

The third proportional to 34,595 and 76,138 is: 167,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,595 : 76,138 = 76,138 : x
  2. Step 2: Convert to fraction form
    34,595/76,138 = 76,138/x
  3. Step 3: Cross multiply
    34,595x = 76,138 × 76,138
  4. Step 4: Simplify right side
    34,595x = 5,796,995,044
  5. Step 5: Solve for x
    x = 5,796,995,044/34,595
  6. Step 6: Final answer
    x = 167,567.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.