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Finding the Third Proportional to 51,149 and 109,407

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Solution

The third proportional to 51,149 and 109,407 is: 234,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,149 : 109,407 = 109,407 : x
  2. Step 2: Convert to fraction form
    51,149/109,407 = 109,407/x
  3. Step 3: Cross multiply
    51,149x = 109,407 × 109,407
  4. Step 4: Simplify right side
    51,149x = 11,969,891,649
  5. Step 5: Solve for x
    x = 11,969,891,649/51,149
  6. Step 6: Final answer
    x = 234,020.05

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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.