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Finding the Third Proportional to 34,115 and 73,414

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Solution

The third proportional to 34,115 and 73,414 is: 157,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115 : 73,414 = 73,414 : x
  2. Step 2: Convert to fraction form
    34,115/73,414 = 73,414/x
  3. Step 3: Cross multiply
    34,115x = 73,414 × 73,414
  4. Step 4: Simplify right side
    34,115x = 5,389,615,396
  5. Step 5: Solve for x
    x = 5,389,615,396/34,115
  6. Step 6: Final answer
    x = 157,983.74

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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.