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Finding the Third Proportional to 34,111.75 and 73,771.75

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Solution

The third proportional to 34,111.75 and 73,771.75 is: 159,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111.75 : 73,771.75 = 73,771.75 : x
  2. Step 2: Convert to fraction form
    34,111.75/73,771.75 = 73,771.75/x
  3. Step 3: Cross multiply
    34,111.75x = 73,771.75 × 73,771.75
  4. Step 4: Simplify right side
    34,111.75x = 5,442,271,098.06
  5. Step 5: Solve for x
    x = 5,442,271,098.06/34,111.75
  6. Step 6: Final answer
    x = 159,542.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.