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Finding the Third Proportional to 34,615 and 75,305

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Solution

The third proportional to 34,615 and 75,305 is: 163,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615 : 75,305 = 75,305 : x
  2. Step 2: Convert to fraction form
    34,615/75,305 = 75,305/x
  3. Step 3: Cross multiply
    34,615x = 75,305 × 75,305
  4. Step 4: Simplify right side
    34,615x = 5,670,843,025
  5. Step 5: Solve for x
    x = 5,670,843,025/34,615
  6. Step 6: Final answer
    x = 163,826.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.