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Finding the Third Proportional to 92,286 and 195,504

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Solution

The third proportional to 92,286 and 195,504 is: 414,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 195,504 = 195,504 : x
  2. Step 2: Convert to fraction form
    92,286/195,504 = 195,504/x
  3. Step 3: Cross multiply
    92,286x = 195,504 × 195,504
  4. Step 4: Simplify right side
    92,286x = 38,221,814,016
  5. Step 5: Solve for x
    x = 38,221,814,016/92,286
  6. Step 6: Final answer
    x = 414,166.98

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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.