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Finding the Third Proportional to 34,263 and 74,069.44

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Solution

The third proportional to 34,263 and 74,069.44 is: 160,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,263 : 74,069.44 = 74,069.44 : x
  2. Step 2: Convert to fraction form
    34,263/74,069.44 = 74,069.44/x
  3. Step 3: Cross multiply
    34,263x = 74,069.44 × 74,069.44
  4. Step 4: Simplify right side
    34,263x = 5,486,281,571.57
  5. Step 5: Solve for x
    x = 5,486,281,571.57/34,263
  6. Step 6: Final answer
    x = 160,122.63

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Why These Related Problems?

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