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Finding the Third Proportional to 34,145 and 69,977

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Solution

The third proportional to 34,145 and 69,977 is: 143,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145 : 69,977 = 69,977 : x
  2. Step 2: Convert to fraction form
    34,145/69,977 = 69,977/x
  3. Step 3: Cross multiply
    34,145x = 69,977 × 69,977
  4. Step 4: Simplify right side
    34,145x = 4,896,780,529
  5. Step 5: Solve for x
    x = 4,896,780,529/34,145
  6. Step 6: Final answer
    x = 143,411.35

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.