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Finding the Third Proportional to 92,882 and 197,752

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Solution

The third proportional to 92,882 and 197,752 is: 421,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,882 : 197,752 = 197,752 : x
  2. Step 2: Convert to fraction form
    92,882/197,752 = 197,752/x
  3. Step 3: Cross multiply
    92,882x = 197,752 × 197,752
  4. Step 4: Simplify right side
    92,882x = 39,105,853,504
  5. Step 5: Solve for x
    x = 39,105,853,504/92,882
  6. Step 6: Final answer
    x = 421,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.