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Finding the Third Proportional to 128,220 and 188,162

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Solution

The third proportional to 128,220 and 188,162 is: 276,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,220 : 188,162 = 188,162 : x
  2. Step 2: Convert to fraction form
    128,220/188,162 = 188,162/x
  3. Step 3: Cross multiply
    128,220x = 188,162 × 188,162
  4. Step 4: Simplify right side
    128,220x = 35,404,938,244
  5. Step 5: Solve for x
    x = 35,404,938,244/128,220
  6. Step 6: Final answer
    x = 276,126.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.