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Finding the Third Proportional to 175,048 and 193,094

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Solution

The third proportional to 175,048 and 193,094 is: 213,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,048 : 193,094 = 193,094 : x
  2. Step 2: Convert to fraction form
    175,048/193,094 = 193,094/x
  3. Step 3: Cross multiply
    175,048x = 193,094 × 193,094
  4. Step 4: Simplify right side
    175,048x = 37,285,292,836
  5. Step 5: Solve for x
    x = 37,285,292,836/175,048
  6. Step 6: Final answer
    x = 213,000.39

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.