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Finding the Third Proportional to 43,085 and 91,378

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Solution

The third proportional to 43,085 and 91,378 is: 193,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,085 : 91,378 = 91,378 : x
  2. Step 2: Convert to fraction form
    43,085/91,378 = 91,378/x
  3. Step 3: Cross multiply
    43,085x = 91,378 × 91,378
  4. Step 4: Simplify right side
    43,085x = 8,349,938,884
  5. Step 5: Solve for x
    x = 8,349,938,884/43,085
  6. Step 6: Final answer
    x = 193,801.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.