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Finding the Third Proportional to 46,086 and 107,919

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Solution

The third proportional to 46,086 and 107,919 is: 252,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,086 : 107,919 = 107,919 : x
  2. Step 2: Convert to fraction form
    46,086/107,919 = 107,919/x
  3. Step 3: Cross multiply
    46,086x = 107,919 × 107,919
  4. Step 4: Simplify right side
    46,086x = 11,646,510,561
  5. Step 5: Solve for x
    x = 11,646,510,561/46,086
  6. Step 6: Final answer
    x = 252,712.55

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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.