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Finding the Third Proportional to 43,164 and 94,333

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Solution

The third proportional to 43,164 and 94,333 is: 206,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,164 : 94,333 = 94,333 : x
  2. Step 2: Convert to fraction form
    43,164/94,333 = 94,333/x
  3. Step 3: Cross multiply
    43,164x = 94,333 × 94,333
  4. Step 4: Simplify right side
    43,164x = 8,898,714,889
  5. Step 5: Solve for x
    x = 8,898,714,889/43,164
  6. Step 6: Final answer
    x = 206,160.57

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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.