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Finding the Third Proportional to 76,725 and 164,110

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Solution

The third proportional to 76,725 and 164,110 is: 351,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725 : 164,110 = 164,110 : x
  2. Step 2: Convert to fraction form
    76,725/164,110 = 164,110/x
  3. Step 3: Cross multiply
    76,725x = 164,110 × 164,110
  4. Step 4: Simplify right side
    76,725x = 26,932,092,100
  5. Step 5: Solve for x
    x = 26,932,092,100/76,725
  6. Step 6: Final answer
    x = 351,021.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.