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Finding the Third Proportional to 46,077 and 94,098

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Solution

The third proportional to 46,077 and 94,098 is: 192,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077 : 94,098 = 94,098 : x
  2. Step 2: Convert to fraction form
    46,077/94,098 = 94,098/x
  3. Step 3: Cross multiply
    46,077x = 94,098 × 94,098
  4. Step 4: Simplify right side
    46,077x = 8,854,433,604
  5. Step 5: Solve for x
    x = 8,854,433,604/46,077
  6. Step 6: Final answer
    x = 192,166.02

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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.