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Finding the Third Proportional to 34,106 and 80,397.75

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Solution

The third proportional to 34,106 and 80,397.75 is: 189,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106 : 80,397.75 = 80,397.75 : x
  2. Step 2: Convert to fraction form
    34,106/80,397.75 = 80,397.75/x
  3. Step 3: Cross multiply
    34,106x = 80,397.75 × 80,397.75
  4. Step 4: Simplify right side
    34,106x = 6,463,798,205.06
  5. Step 5: Solve for x
    x = 6,463,798,205.06/34,106
  6. Step 6: Final answer
    x = 189,520.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.