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Finding the Third Proportional to 76,194 and 163,728

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Solution

The third proportional to 76,194 and 163,728 is: 351,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,194 : 163,728 = 163,728 : x
  2. Step 2: Convert to fraction form
    76,194/163,728 = 163,728/x
  3. Step 3: Cross multiply
    76,194x = 163,728 × 163,728
  4. Step 4: Simplify right side
    76,194x = 26,806,857,984
  5. Step 5: Solve for x
    x = 26,806,857,984/76,194
  6. Step 6: Final answer
    x = 351,823.74

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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.