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Finding the Third Proportional to 43,769 and 93,369

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Solution

The third proportional to 43,769 and 93,369 is: 199,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,769 : 93,369 = 93,369 : x
  2. Step 2: Convert to fraction form
    43,769/93,369 = 93,369/x
  3. Step 3: Cross multiply
    43,769x = 93,369 × 93,369
  4. Step 4: Simplify right side
    43,769x = 8,717,770,161
  5. Step 5: Solve for x
    x = 8,717,770,161/43,769
  6. Step 6: Final answer
    x = 199,176.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.