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Finding the Third Proportional to 46,785 and 95,451

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Solution

The third proportional to 46,785 and 95,451 is: 194,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,785 : 95,451 = 95,451 : x
  2. Step 2: Convert to fraction form
    46,785/95,451 = 95,451/x
  3. Step 3: Cross multiply
    46,785x = 95,451 × 95,451
  4. Step 4: Simplify right side
    46,785x = 9,110,893,401
  5. Step 5: Solve for x
    x = 9,110,893,401/46,785
  6. Step 6: Final answer
    x = 194,739.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.