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Finding the Third Proportional to 88,962 and 193,412

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Solution

The third proportional to 88,962 and 193,412 is: 420,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,962 : 193,412 = 193,412 : x
  2. Step 2: Convert to fraction form
    88,962/193,412 = 193,412/x
  3. Step 3: Cross multiply
    88,962x = 193,412 × 193,412
  4. Step 4: Simplify right side
    88,962x = 37,408,201,744
  5. Step 5: Solve for x
    x = 37,408,201,744/88,962
  6. Step 6: Final answer
    x = 420,496.41

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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.