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Finding the Third Proportional to 45,081 and 96,416

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Solution

The third proportional to 45,081 and 96,416 is: 206,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,081 : 96,416 = 96,416 : x
  2. Step 2: Convert to fraction form
    45,081/96,416 = 96,416/x
  3. Step 3: Cross multiply
    45,081x = 96,416 × 96,416
  4. Step 4: Simplify right side
    45,081x = 9,296,045,056
  5. Step 5: Solve for x
    x = 9,296,045,056/45,081
  6. Step 6: Final answer
    x = 206,207.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.