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Finding the Third Proportional to 43,857 and 94,719

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Solution

The third proportional to 43,857 and 94,719 is: 204,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,857 : 94,719 = 94,719 : x
  2. Step 2: Convert to fraction form
    43,857/94,719 = 94,719/x
  3. Step 3: Cross multiply
    43,857x = 94,719 × 94,719
  4. Step 4: Simplify right side
    43,857x = 8,971,688,961
  5. Step 5: Solve for x
    x = 8,971,688,961/43,857
  6. Step 6: Final answer
    x = 204,566.86

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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.