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Finding the Third Proportional to 43,334 and 94,084

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Solution

The third proportional to 43,334 and 94,084 is: 204,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,334 : 94,084 = 94,084 : x
  2. Step 2: Convert to fraction form
    43,334/94,084 = 94,084/x
  3. Step 3: Cross multiply
    43,334x = 94,084 × 94,084
  4. Step 4: Simplify right side
    43,334x = 8,851,799,056
  5. Step 5: Solve for x
    x = 8,851,799,056/43,334
  6. Step 6: Final answer
    x = 204,269.14

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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.