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Finding the Third Proportional to 43,586 and 94,084

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Solution

The third proportional to 43,586 and 94,084 is: 203,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,586 : 94,084 = 94,084 : x
  2. Step 2: Convert to fraction form
    43,586/94,084 = 94,084/x
  3. Step 3: Cross multiply
    43,586x = 94,084 × 94,084
  4. Step 4: Simplify right side
    43,586x = 8,851,799,056
  5. Step 5: Solve for x
    x = 8,851,799,056/43,586
  6. Step 6: Final answer
    x = 203,088.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.