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Finding the Third Proportional to 105,089 and 227,987

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Solution

The third proportional to 105,089 and 227,987 is: 494,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,089 : 227,987 = 227,987 : x
  2. Step 2: Convert to fraction form
    105,089/227,987 = 227,987/x
  3. Step 3: Cross multiply
    105,089x = 227,987 × 227,987
  4. Step 4: Simplify right side
    105,089x = 51,978,072,169
  5. Step 5: Solve for x
    x = 51,978,072,169/105,089
  6. Step 6: Final answer
    x = 494,610.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.