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Finding the Third Proportional to 42,920 and 92,132

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Solution

The third proportional to 42,920 and 92,132 is: 197,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,920 : 92,132 = 92,132 : x
  2. Step 2: Convert to fraction form
    42,920/92,132 = 92,132/x
  3. Step 3: Cross multiply
    42,920x = 92,132 × 92,132
  4. Step 4: Simplify right side
    42,920x = 8,488,305,424
  5. Step 5: Solve for x
    x = 8,488,305,424/42,920
  6. Step 6: Final answer
    x = 197,770.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.