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Finding the Third Proportional to 34,083 and 69,546

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Solution

The third proportional to 34,083 and 69,546 is: 141,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083 : 69,546 = 69,546 : x
  2. Step 2: Convert to fraction form
    34,083/69,546 = 69,546/x
  3. Step 3: Cross multiply
    34,083x = 69,546 × 69,546
  4. Step 4: Simplify right side
    34,083x = 4,836,646,116
  5. Step 5: Solve for x
    x = 4,836,646,116/34,083
  6. Step 6: Final answer
    x = 141,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.