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Finding the Third Proportional to 46,253 and 94,234

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Solution

The third proportional to 46,253 and 94,234 is: 191,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,253 : 94,234 = 94,234 : x
  2. Step 2: Convert to fraction form
    46,253/94,234 = 94,234/x
  3. Step 3: Cross multiply
    46,253x = 94,234 × 94,234
  4. Step 4: Simplify right side
    46,253x = 8,880,046,756
  5. Step 5: Solve for x
    x = 8,880,046,756/46,253
  6. Step 6: Final answer
    x = 191,988.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.