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Finding the Third Proportional to 90,882 and 192,852

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Solution

The third proportional to 90,882 and 192,852 is: 409,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,882 : 192,852 = 192,852 : x
  2. Step 2: Convert to fraction form
    90,882/192,852 = 192,852/x
  3. Step 3: Cross multiply
    90,882x = 192,852 × 192,852
  4. Step 4: Simplify right side
    90,882x = 37,191,893,904
  5. Step 5: Solve for x
    x = 37,191,893,904/90,882
  6. Step 6: Final answer
    x = 409,232.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.