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Finding the Third Proportional to 71,094 and 153,204

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Solution

The third proportional to 71,094 and 153,204 is: 330,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,094 : 153,204 = 153,204 : x
  2. Step 2: Convert to fraction form
    71,094/153,204 = 153,204/x
  3. Step 3: Cross multiply
    71,094x = 153,204 × 153,204
  4. Step 4: Simplify right side
    71,094x = 23,471,465,616
  5. Step 5: Solve for x
    x = 23,471,465,616/71,094
  6. Step 6: Final answer
    x = 330,146.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.