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Finding the Third Proportional to 46,256 and 94,238

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Solution

The third proportional to 46,256 and 94,238 is: 191,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,256 : 94,238 = 94,238 : x
  2. Step 2: Convert to fraction form
    46,256/94,238 = 94,238/x
  3. Step 3: Cross multiply
    46,256x = 94,238 × 94,238
  4. Step 4: Simplify right side
    46,256x = 8,880,800,644
  5. Step 5: Solve for x
    x = 8,880,800,644/46,256
  6. Step 6: Final answer
    x = 191,992.40

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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.