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Finding the Third Proportional to 89,100 and 181,485

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Solution

The third proportional to 89,100 and 181,485 is: 369,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,100 : 181,485 = 181,485 : x
  2. Step 2: Convert to fraction form
    89,100/181,485 = 181,485/x
  3. Step 3: Cross multiply
    89,100x = 181,485 × 181,485
  4. Step 4: Simplify right side
    89,100x = 32,936,805,225
  5. Step 5: Solve for x
    x = 32,936,805,225/89,100
  6. Step 6: Final answer
    x = 369,661.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.