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Finding the Third Proportional to 51,741 and 71,242

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Solution

The third proportional to 51,741 and 71,242 is: 98,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,741 : 71,242 = 71,242 : x
  2. Step 2: Convert to fraction form
    51,741/71,242 = 71,242/x
  3. Step 3: Cross multiply
    51,741x = 71,242 × 71,242
  4. Step 4: Simplify right side
    51,741x = 5,075,422,564
  5. Step 5: Solve for x
    x = 5,075,422,564/51,741
  6. Step 6: Final answer
    x = 98,092.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.