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Finding the Third Proportional to 123,049 and 263,159

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Solution

The third proportional to 123,049 and 263,159 is: 562,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,049 : 263,159 = 263,159 : x
  2. Step 2: Convert to fraction form
    123,049/263,159 = 263,159/x
  3. Step 3: Cross multiply
    123,049x = 263,159 × 263,159
  4. Step 4: Simplify right side
    123,049x = 69,252,659,281
  5. Step 5: Solve for x
    x = 69,252,659,281/123,049
  6. Step 6: Final answer
    x = 562,805.54

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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.