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Finding the Third Proportional to 106,546 and 227,672

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Solution

The third proportional to 106,546 and 227,672 is: 486,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546 : 227,672 = 227,672 : x
  2. Step 2: Convert to fraction form
    106,546/227,672 = 227,672/x
  3. Step 3: Cross multiply
    106,546x = 227,672 × 227,672
  4. Step 4: Simplify right side
    106,546x = 51,834,539,584
  5. Step 5: Solve for x
    x = 51,834,539,584/106,546
  6. Step 6: Final answer
    x = 486,499.16

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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.