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Finding the Third Proportional to 51,289 and 111,321

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Solution

The third proportional to 51,289 and 111,321 is: 241,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,289 : 111,321 = 111,321 : x
  2. Step 2: Convert to fraction form
    51,289/111,321 = 111,321/x
  3. Step 3: Cross multiply
    51,289x = 111,321 × 111,321
  4. Step 4: Simplify right side
    51,289x = 12,392,365,041
  5. Step 5: Solve for x
    x = 12,392,365,041/51,289
  6. Step 6: Final answer
    x = 241,618.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.