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Finding the Third Proportional to 34,006.50 and 75,120.75

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Solution

The third proportional to 34,006.50 and 75,120.75 is: 165,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006.50 : 75,120.75 = 75,120.75 : x
  2. Step 2: Convert to fraction form
    34,006.50/75,120.75 = 75,120.75/x
  3. Step 3: Cross multiply
    34,006.50x = 75,120.75 × 75,120.75
  4. Step 4: Simplify right side
    34,006.50x = 5,643,127,080.56
  5. Step 5: Solve for x
    x = 5,643,127,080.56/34,006.50
  6. Step 6: Final answer
    x = 165,942.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.