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Finding the Third Proportional to 106,241 and 155,533

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Solution

The third proportional to 106,241 and 155,533 is: 227,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241 : 155,533 = 155,533 : x
  2. Step 2: Convert to fraction form
    106,241/155,533 = 155,533/x
  3. Step 3: Cross multiply
    106,241x = 155,533 × 155,533
  4. Step 4: Simplify right side
    106,241x = 24,190,514,089
  5. Step 5: Solve for x
    x = 24,190,514,089/106,241
  6. Step 6: Final answer
    x = 227,694.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.