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Finding the Third Proportional to 46,233 and 94,501

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Solution

The third proportional to 46,233 and 94,501 is: 193,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,233 : 94,501 = 94,501 : x
  2. Step 2: Convert to fraction form
    46,233/94,501 = 94,501/x
  3. Step 3: Cross multiply
    46,233x = 94,501 × 94,501
  4. Step 4: Simplify right side
    46,233x = 8,930,439,001
  5. Step 5: Solve for x
    x = 8,930,439,001/46,233
  6. Step 6: Final answer
    x = 193,161.57

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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.