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Finding the Third Proportional to 44,904 and 92,724

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Solution

The third proportional to 44,904 and 92,724 is: 191,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,904 : 92,724 = 92,724 : x
  2. Step 2: Convert to fraction form
    44,904/92,724 = 92,724/x
  3. Step 3: Cross multiply
    44,904x = 92,724 × 92,724
  4. Step 4: Simplify right side
    44,904x = 8,597,740,176
  5. Step 5: Solve for x
    x = 8,597,740,176/44,904
  6. Step 6: Final answer
    x = 191,469.36

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.