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Finding the Third Proportional to 46,337 and 94,857

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Solution

The third proportional to 46,337 and 94,857 is: 194,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,337 : 94,857 = 94,857 : x
  2. Step 2: Convert to fraction form
    46,337/94,857 = 94,857/x
  3. Step 3: Cross multiply
    46,337x = 94,857 × 94,857
  4. Step 4: Simplify right side
    46,337x = 8,997,850,449
  5. Step 5: Solve for x
    x = 8,997,850,449/46,337
  6. Step 6: Final answer
    x = 194,182.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.