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Finding the Third Proportional to 75,804 and 164,223

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Solution

The third proportional to 75,804 and 164,223 is: 355,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,804 : 164,223 = 164,223 : x
  2. Step 2: Convert to fraction form
    75,804/164,223 = 164,223/x
  3. Step 3: Cross multiply
    75,804x = 164,223 × 164,223
  4. Step 4: Simplify right side
    75,804x = 26,969,193,729
  5. Step 5: Solve for x
    x = 26,969,193,729/75,804
  6. Step 6: Final answer
    x = 355,775.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.