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Finding the Third Proportional to 34,135 and 70,995

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Solution

The third proportional to 34,135 and 70,995 is: 147,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,135 : 70,995 = 70,995 : x
  2. Step 2: Convert to fraction form
    34,135/70,995 = 70,995/x
  3. Step 3: Cross multiply
    34,135x = 70,995 × 70,995
  4. Step 4: Simplify right side
    34,135x = 5,040,290,025
  5. Step 5: Solve for x
    x = 5,040,290,025/34,135
  6. Step 6: Final answer
    x = 147,657.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.