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Finding the Third Proportional to 46,082 and 107,909

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Solution

The third proportional to 46,082 and 107,909 is: 252,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082 : 107,909 = 107,909 : x
  2. Step 2: Convert to fraction form
    46,082/107,909 = 107,909/x
  3. Step 3: Cross multiply
    46,082x = 107,909 × 107,909
  4. Step 4: Simplify right side
    46,082x = 11,644,352,281
  5. Step 5: Solve for x
    x = 11,644,352,281/46,082
  6. Step 6: Final answer
    x = 252,687.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.