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Finding the Third Proportional to 45,694 and 95,045

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Solution

The third proportional to 45,694 and 95,045 is: 197,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,694 : 95,045 = 95,045 : x
  2. Step 2: Convert to fraction form
    45,694/95,045 = 95,045/x
  3. Step 3: Cross multiply
    45,694x = 95,045 × 95,045
  4. Step 4: Simplify right side
    45,694x = 9,033,552,025
  5. Step 5: Solve for x
    x = 9,033,552,025/45,694
  6. Step 6: Final answer
    x = 197,696.68

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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.