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Finding the Third Proportional to 43,174 and 94,348

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Solution

The third proportional to 43,174 and 94,348 is: 206,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,174 : 94,348 = 94,348 : x
  2. Step 2: Convert to fraction form
    43,174/94,348 = 94,348/x
  3. Step 3: Cross multiply
    43,174x = 94,348 × 94,348
  4. Step 4: Simplify right side
    43,174x = 8,901,545,104
  5. Step 5: Solve for x
    x = 8,901,545,104/43,174
  6. Step 6: Final answer
    x = 206,178.37

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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.