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Finding the Third Proportional to 44,247 and 95,538

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Solution

The third proportional to 44,247 and 95,538 is: 206,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,247 : 95,538 = 95,538 : x
  2. Step 2: Convert to fraction form
    44,247/95,538 = 95,538/x
  3. Step 3: Cross multiply
    44,247x = 95,538 × 95,538
  4. Step 4: Simplify right side
    44,247x = 9,127,509,444
  5. Step 5: Solve for x
    x = 9,127,509,444/44,247
  6. Step 6: Final answer
    x = 206,285.39

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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.