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Finding the Third Proportional to 45,374 and 96,256

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Solution

The third proportional to 45,374 and 96,256 is: 204,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,374 : 96,256 = 96,256 : x
  2. Step 2: Convert to fraction form
    45,374/96,256 = 96,256/x
  3. Step 3: Cross multiply
    45,374x = 96,256 × 96,256
  4. Step 4: Simplify right side
    45,374x = 9,265,217,536
  5. Step 5: Solve for x
    x = 9,265,217,536/45,374
  6. Step 6: Final answer
    x = 204,196.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.