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Finding the Third Proportional to 88,906 and 193,075

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Solution

The third proportional to 88,906 and 193,075 is: 419,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,906 : 193,075 = 193,075 : x
  2. Step 2: Convert to fraction form
    88,906/193,075 = 193,075/x
  3. Step 3: Cross multiply
    88,906x = 193,075 × 193,075
  4. Step 4: Simplify right side
    88,906x = 37,277,955,625
  5. Step 5: Solve for x
    x = 37,277,955,625/88,906
  6. Step 6: Final answer
    x = 419,296.29

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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.