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Finding the Third Proportional to 76,512 and 164,148

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Solution

The third proportional to 76,512 and 164,148 is: 352,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512 : 164,148 = 164,148 : x
  2. Step 2: Convert to fraction form
    76,512/164,148 = 164,148/x
  3. Step 3: Cross multiply
    76,512x = 164,148 × 164,148
  4. Step 4: Simplify right side
    76,512x = 26,944,565,904
  5. Step 5: Solve for x
    x = 26,944,565,904/76,512
  6. Step 6: Final answer
    x = 352,161.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.