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Finding the Third Proportional to 105,069 and 227,543

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Solution

The third proportional to 105,069 and 227,543 is: 492,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,069 : 227,543 = 227,543 : x
  2. Step 2: Convert to fraction form
    105,069/227,543 = 227,543/x
  3. Step 3: Cross multiply
    105,069x = 227,543 × 227,543
  4. Step 4: Simplify right side
    105,069x = 51,775,816,849
  5. Step 5: Solve for x
    x = 51,775,816,849/105,069
  6. Step 6: Final answer
    x = 492,779.19

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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.