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Finding the Third Proportional to 44,775 and 94,146

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Solution

The third proportional to 44,775 and 94,146 is: 197,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,775 : 94,146 = 94,146 : x
  2. Step 2: Convert to fraction form
    44,775/94,146 = 94,146/x
  3. Step 3: Cross multiply
    44,775x = 94,146 × 94,146
  4. Step 4: Simplify right side
    44,775x = 8,863,469,316
  5. Step 5: Solve for x
    x = 8,863,469,316/44,775
  6. Step 6: Final answer
    x = 197,955.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.