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Finding the Third Proportional to 105,888 and 227,130

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Solution

The third proportional to 105,888 and 227,130 is: 487,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,888 : 227,130 = 227,130 : x
  2. Step 2: Convert to fraction form
    105,888/227,130 = 227,130/x
  3. Step 3: Cross multiply
    105,888x = 227,130 × 227,130
  4. Step 4: Simplify right side
    105,888x = 51,588,036,900
  5. Step 5: Solve for x
    x = 51,588,036,900/105,888
  6. Step 6: Final answer
    x = 487,194.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.