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Finding the Third Proportional to 44,855 and 96,622

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Solution

The third proportional to 44,855 and 96,622 is: 208,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,855 : 96,622 = 96,622 : x
  2. Step 2: Convert to fraction form
    44,855/96,622 = 96,622/x
  3. Step 3: Cross multiply
    44,855x = 96,622 × 96,622
  4. Step 4: Simplify right side
    44,855x = 9,335,810,884
  5. Step 5: Solve for x
    x = 9,335,810,884/44,855
  6. Step 6: Final answer
    x = 208,133.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.