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Finding the Third Proportional to 34,078 and 73,340

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Solution

The third proportional to 34,078 and 73,340 is: 157,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078 : 73,340 = 73,340 : x
  2. Step 2: Convert to fraction form
    34,078/73,340 = 73,340/x
  3. Step 3: Cross multiply
    34,078x = 73,340 × 73,340
  4. Step 4: Simplify right side
    34,078x = 5,378,755,600
  5. Step 5: Solve for x
    x = 5,378,755,600/34,078
  6. Step 6: Final answer
    x = 157,836.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.