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Finding the Third Proportional to 34,131 and 70,986.75

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Solution

The third proportional to 34,131 and 70,986.75 is: 147,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,131 : 70,986.75 = 70,986.75 : x
  2. Step 2: Convert to fraction form
    34,131/70,986.75 = 70,986.75/x
  3. Step 3: Cross multiply
    34,131x = 70,986.75 × 70,986.75
  4. Step 4: Simplify right side
    34,131x = 5,039,118,675.56
  5. Step 5: Solve for x
    x = 5,039,118,675.56/34,131
  6. Step 6: Final answer
    x = 147,640.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.