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Finding the Third Proportional to 90,897 and 192,594

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Solution

The third proportional to 90,897 and 192,594 is: 408,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,897 : 192,594 = 192,594 : x
  2. Step 2: Convert to fraction form
    90,897/192,594 = 192,594/x
  3. Step 3: Cross multiply
    90,897x = 192,594 × 192,594
  4. Step 4: Simplify right side
    90,897x = 37,092,448,836
  5. Step 5: Solve for x
    x = 37,092,448,836/90,897
  6. Step 6: Final answer
    x = 408,071.21

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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.