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Finding the Third Proportional to 34,362 and 73,260

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Solution

The third proportional to 34,362 and 73,260 is: 156,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,362 : 73,260 = 73,260 : x
  2. Step 2: Convert to fraction form
    34,362/73,260 = 73,260/x
  3. Step 3: Cross multiply
    34,362x = 73,260 × 73,260
  4. Step 4: Simplify right side
    34,362x = 5,367,027,600
  5. Step 5: Solve for x
    x = 5,367,027,600/34,362
  6. Step 6: Final answer
    x = 156,190.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.