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Finding the Third Proportional to 43,390 and 95,084

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Solution

The third proportional to 43,390 and 95,084 is: 208,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,390 : 95,084 = 95,084 : x
  2. Step 2: Convert to fraction form
    43,390/95,084 = 95,084/x
  3. Step 3: Cross multiply
    43,390x = 95,084 × 95,084
  4. Step 4: Simplify right side
    43,390x = 9,040,967,056
  5. Step 5: Solve for x
    x = 9,040,967,056/43,390
  6. Step 6: Final answer
    x = 208,365.22

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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.