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Finding the Third Proportional to 44,247 and 96,270

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Solution

The third proportional to 44,247 and 96,270 is: 209,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,247 : 96,270 = 96,270 : x
  2. Step 2: Convert to fraction form
    44,247/96,270 = 96,270/x
  3. Step 3: Cross multiply
    44,247x = 96,270 × 96,270
  4. Step 4: Simplify right side
    44,247x = 9,267,912,900
  5. Step 5: Solve for x
    x = 9,267,912,900/44,247
  6. Step 6: Final answer
    x = 209,458.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.