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Finding the Third Proportional to 122,042 and 263,524

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Solution

The third proportional to 122,042 and 263,524 is: 569,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,042 : 263,524 = 263,524 : x
  2. Step 2: Convert to fraction form
    122,042/263,524 = 263,524/x
  3. Step 3: Cross multiply
    122,042x = 263,524 × 263,524
  4. Step 4: Simplify right side
    122,042x = 69,444,898,576
  5. Step 5: Solve for x
    x = 69,444,898,576/122,042
  6. Step 6: Final answer
    x = 569,024.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.