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Finding the Third Proportional to 43,868 and 96,271

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Solution

The third proportional to 43,868 and 96,271 is: 211,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,868 : 96,271 = 96,271 : x
  2. Step 2: Convert to fraction form
    43,868/96,271 = 96,271/x
  3. Step 3: Cross multiply
    43,868x = 96,271 × 96,271
  4. Step 4: Simplify right side
    43,868x = 9,268,105,441
  5. Step 5: Solve for x
    x = 9,268,105,441/43,868
  6. Step 6: Final answer
    x = 211,272.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.