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Finding the Third Proportional to 46,335 and 94,305

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Solution

The third proportional to 46,335 and 94,305 is: 191,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,335 : 94,305 = 94,305 : x
  2. Step 2: Convert to fraction form
    46,335/94,305 = 94,305/x
  3. Step 3: Cross multiply
    46,335x = 94,305 × 94,305
  4. Step 4: Simplify right side
    46,335x = 8,893,433,025
  5. Step 5: Solve for x
    x = 8,893,433,025/46,335
  6. Step 6: Final answer
    x = 191,937.69

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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.