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Finding the Third Proportional to 89,072 and 193,344

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Solution

The third proportional to 89,072 and 193,344 is: 419,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,072 : 193,344 = 193,344 : x
  2. Step 2: Convert to fraction form
    89,072/193,344 = 193,344/x
  3. Step 3: Cross multiply
    89,072x = 193,344 × 193,344
  4. Step 4: Simplify right side
    89,072x = 37,381,902,336
  5. Step 5: Solve for x
    x = 37,381,902,336/89,072
  6. Step 6: Final answer
    x = 419,681.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.