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Finding the Third Proportional to 44,804 and 94,912

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Solution

The third proportional to 44,804 and 94,912 is: 201,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,804 : 94,912 = 94,912 : x
  2. Step 2: Convert to fraction form
    44,804/94,912 = 94,912/x
  3. Step 3: Cross multiply
    44,804x = 94,912 × 94,912
  4. Step 4: Simplify right side
    44,804x = 9,008,287,744
  5. Step 5: Solve for x
    x = 9,008,287,744/44,804
  6. Step 6: Final answer
    x = 201,059.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.