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Finding the Third Proportional to 41,766 and 94,047

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Solution

The third proportional to 41,766 and 94,047 is: 211,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,766 : 94,047 = 94,047 : x
  2. Step 2: Convert to fraction form
    41,766/94,047 = 94,047/x
  3. Step 3: Cross multiply
    41,766x = 94,047 × 94,047
  4. Step 4: Simplify right side
    41,766x = 8,844,838,209
  5. Step 5: Solve for x
    x = 8,844,838,209/41,766
  6. Step 6: Final answer
    x = 211,771.25

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.