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Finding the Third Proportional to 77,274 and 164,673

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Solution

The third proportional to 77,274 and 164,673 is: 350,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274 : 164,673 = 164,673 : x
  2. Step 2: Convert to fraction form
    77,274/164,673 = 164,673/x
  3. Step 3: Cross multiply
    77,274x = 164,673 × 164,673
  4. Step 4: Simplify right side
    77,274x = 27,117,196,929
  5. Step 5: Solve for x
    x = 27,117,196,929/77,274
  6. Step 6: Final answer
    x = 350,922.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.