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Finding the Third Proportional to 96,525 and 225,531

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Solution

The third proportional to 96,525 and 225,531 is: 526,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,525 : 225,531 = 225,531 : x
  2. Step 2: Convert to fraction form
    96,525/225,531 = 225,531/x
  3. Step 3: Cross multiply
    96,525x = 225,531 × 225,531
  4. Step 4: Simplify right side
    96,525x = 50,864,231,961
  5. Step 5: Solve for x
    x = 50,864,231,961/96,525
  6. Step 6: Final answer
    x = 526,953.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.