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Finding the Third Proportional to 75,546 and 164,214

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Solution

The third proportional to 75,546 and 164,214 is: 356,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,546 : 164,214 = 164,214 : x
  2. Step 2: Convert to fraction form
    75,546/164,214 = 164,214/x
  3. Step 3: Cross multiply
    75,546x = 164,214 × 164,214
  4. Step 4: Simplify right side
    75,546x = 26,966,237,796
  5. Step 5: Solve for x
    x = 26,966,237,796/75,546
  6. Step 6: Final answer
    x = 356,951.23

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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.