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Finding the Third Proportional to 83,091 and 181,220

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Solution

The third proportional to 83,091 and 181,220 is: 395,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091 : 181,220 = 181,220 : x
  2. Step 2: Convert to fraction form
    83,091/181,220 = 181,220/x
  3. Step 3: Cross multiply
    83,091x = 181,220 × 181,220
  4. Step 4: Simplify right side
    83,091x = 32,840,688,400
  5. Step 5: Solve for x
    x = 32,840,688,400/83,091
  6. Step 6: Final answer
    x = 395,237.61

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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.