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Finding the Third Proportional to 83,112 and 181,803

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Solution

The third proportional to 83,112 and 181,803 is: 397,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112 : 181,803 = 181,803 : x
  2. Step 2: Convert to fraction form
    83,112/181,803 = 181,803/x
  3. Step 3: Cross multiply
    83,112x = 181,803 × 181,803
  4. Step 4: Simplify right side
    83,112x = 33,052,330,809
  5. Step 5: Solve for x
    x = 33,052,330,809/83,112
  6. Step 6: Final answer
    x = 397,684.22

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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.