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Finding the Third Proportional to 43,288 and 93,976

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Solution

The third proportional to 43,288 and 93,976 is: 204,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,288 : 93,976 = 93,976 : x
  2. Step 2: Convert to fraction form
    43,288/93,976 = 93,976/x
  3. Step 3: Cross multiply
    43,288x = 93,976 × 93,976
  4. Step 4: Simplify right side
    43,288x = 8,831,488,576
  5. Step 5: Solve for x
    x = 8,831,488,576/43,288
  6. Step 6: Final answer
    x = 204,017.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.