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Finding the Third Proportional to 96,536 and 204,724

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Solution

The third proportional to 96,536 and 204,724 is: 434,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536 : 204,724 = 204,724 : x
  2. Step 2: Convert to fraction form
    96,536/204,724 = 204,724/x
  3. Step 3: Cross multiply
    96,536x = 204,724 × 204,724
  4. Step 4: Simplify right side
    96,536x = 41,911,916,176
  5. Step 5: Solve for x
    x = 41,911,916,176/96,536
  6. Step 6: Final answer
    x = 434,158.41

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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.