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Finding the Third Proportional to 106,204 and 162,654

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Solution

The third proportional to 106,204 and 162,654 is: 249,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,204 : 162,654 = 162,654 : x
  2. Step 2: Convert to fraction form
    106,204/162,654 = 162,654/x
  3. Step 3: Cross multiply
    106,204x = 162,654 × 162,654
  4. Step 4: Simplify right side
    106,204x = 26,456,323,716
  5. Step 5: Solve for x
    x = 26,456,323,716/106,204
  6. Step 6: Final answer
    x = 249,108.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.