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Finding the Third Proportional to 122,103 and 261,725

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Solution

The third proportional to 122,103 and 261,725 is: 561,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,103 : 261,725 = 261,725 : x
  2. Step 2: Convert to fraction form
    122,103/261,725 = 261,725/x
  3. Step 3: Cross multiply
    122,103x = 261,725 × 261,725
  4. Step 4: Simplify right side
    122,103x = 68,499,975,625
  5. Step 5: Solve for x
    x = 68,499,975,625/122,103
  6. Step 6: Final answer
    x = 561,001.58

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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.