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Finding the Third Proportional to 76,925 and 168,997

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Solution

The third proportional to 76,925 and 168,997 is: 371,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,925 : 168,997 = 168,997 : x
  2. Step 2: Convert to fraction form
    76,925/168,997 = 168,997/x
  3. Step 3: Cross multiply
    76,925x = 168,997 × 168,997
  4. Step 4: Simplify right side
    76,925x = 28,559,986,009
  5. Step 5: Solve for x
    x = 28,559,986,009/76,925
  6. Step 6: Final answer
    x = 371,270.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.