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Finding the Third Proportional to 43,370 and 94,678

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Solution

The third proportional to 43,370 and 94,678 is: 206,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,370 : 94,678 = 94,678 : x
  2. Step 2: Convert to fraction form
    43,370/94,678 = 94,678/x
  3. Step 3: Cross multiply
    43,370x = 94,678 × 94,678
  4. Step 4: Simplify right side
    43,370x = 8,963,923,684
  5. Step 5: Solve for x
    x = 8,963,923,684/43,370
  6. Step 6: Final answer
    x = 206,684.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.