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Finding the Third Proportional to 44,515.50 and 105,083.25

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Solution

The third proportional to 44,515.50 and 105,083.25 is: 248,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,515.50 : 105,083.25 = 105,083.25 : x
  2. Step 2: Convert to fraction form
    44,515.50/105,083.25 = 105,083.25/x
  3. Step 3: Cross multiply
    44,515.50x = 105,083.25 × 105,083.25
  4. Step 4: Simplify right side
    44,515.50x = 11,042,489,430.56
  5. Step 5: Solve for x
    x = 11,042,489,430.56/44,515.50
  6. Step 6: Final answer
    x = 248,059.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.