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Finding the Third Proportional to 44,544 and 96,000

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Solution

The third proportional to 44,544 and 96,000 is: 206,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,544 : 96,000 = 96,000 : x
  2. Step 2: Convert to fraction form
    44,544/96,000 = 96,000/x
  3. Step 3: Cross multiply
    44,544x = 96,000 × 96,000
  4. Step 4: Simplify right side
    44,544x = 9,216,000,000
  5. Step 5: Solve for x
    x = 9,216,000,000/44,544
  6. Step 6: Final answer
    x = 206,896.55

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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.