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Finding the Third Proportional to 94,976 and 205,176

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Solution

The third proportional to 94,976 and 205,176 is: 443,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,976 : 205,176 = 205,176 : x
  2. Step 2: Convert to fraction form
    94,976/205,176 = 205,176/x
  3. Step 3: Cross multiply
    94,976x = 205,176 × 205,176
  4. Step 4: Simplify right side
    94,976x = 42,097,190,976
  5. Step 5: Solve for x
    x = 42,097,190,976/94,976
  6. Step 6: Final answer
    x = 443,240.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.