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Finding the Third Proportional to 94,826 and 127,245

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Solution

The third proportional to 94,826 and 127,245 is: 170,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,826 : 127,245 = 127,245 : x
  2. Step 2: Convert to fraction form
    94,826/127,245 = 127,245/x
  3. Step 3: Cross multiply
    94,826x = 127,245 × 127,245
  4. Step 4: Simplify right side
    94,826x = 16,191,290,025
  5. Step 5: Solve for x
    x = 16,191,290,025/94,826
  6. Step 6: Final answer
    x = 170,747.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.