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Finding the Third Proportional to 94,706.50 and 204,173

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Solution

The third proportional to 94,706.50 and 204,173 is: 440,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,706.50 : 204,173 = 204,173 : x
  2. Step 2: Convert to fraction form
    94,706.50/204,173 = 204,173/x
  3. Step 3: Cross multiply
    94,706.50x = 204,173 × 204,173
  4. Step 4: Simplify right side
    94,706.50x = 41,686,613,929
  5. Step 5: Solve for x
    x = 41,686,613,929/94,706.50
  6. Step 6: Final answer
    x = 440,166.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.