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Finding the Third Proportional to 43,618 and 92,942

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Solution

The third proportional to 43,618 and 92,942 is: 198,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,618 : 92,942 = 92,942 : x
  2. Step 2: Convert to fraction form
    43,618/92,942 = 92,942/x
  3. Step 3: Cross multiply
    43,618x = 92,942 × 92,942
  4. Step 4: Simplify right side
    43,618x = 8,638,215,364
  5. Step 5: Solve for x
    x = 8,638,215,364/43,618
  6. Step 6: Final answer
    x = 198,042.44

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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.