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Finding the Third Proportional to 34,344 and 75,256

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Solution

The third proportional to 34,344 and 75,256 is: 164,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,344 : 75,256 = 75,256 : x
  2. Step 2: Convert to fraction form
    34,344/75,256 = 75,256/x
  3. Step 3: Cross multiply
    34,344x = 75,256 × 75,256
  4. Step 4: Simplify right side
    34,344x = 5,663,465,536
  5. Step 5: Solve for x
    x = 5,663,465,536/34,344
  6. Step 6: Final answer
    x = 164,904.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.