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Finding the Third Proportional to 106,008 and 226,725

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Solution

The third proportional to 106,008 and 226,725 is: 484,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,008 : 226,725 = 226,725 : x
  2. Step 2: Convert to fraction form
    106,008/226,725 = 226,725/x
  3. Step 3: Cross multiply
    106,008x = 226,725 × 226,725
  4. Step 4: Simplify right side
    106,008x = 51,404,225,625
  5. Step 5: Solve for x
    x = 51,404,225,625/106,008
  6. Step 6: Final answer
    x = 484,908.93

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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.