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Finding the Third Proportional to 43,660 and 93,152

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Solution

The third proportional to 43,660 and 93,152 is: 198,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,660 : 93,152 = 93,152 : x
  2. Step 2: Convert to fraction form
    43,660/93,152 = 93,152/x
  3. Step 3: Cross multiply
    43,660x = 93,152 × 93,152
  4. Step 4: Simplify right side
    43,660x = 8,677,295,104
  5. Step 5: Solve for x
    x = 8,677,295,104/43,660
  6. Step 6: Final answer
    x = 198,747.02

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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.