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Finding the Third Proportional to 76,478 and 164,027.75

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Solution

The third proportional to 76,478 and 164,027.75 is: 351,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478 : 164,027.75 = 164,027.75 : x
  2. Step 2: Convert to fraction form
    76,478/164,027.75 = 164,027.75/x
  3. Step 3: Cross multiply
    76,478x = 164,027.75 × 164,027.75
  4. Step 4: Simplify right side
    76,478x = 26,905,102,770.06
  5. Step 5: Solve for x
    x = 26,905,102,770.06/76,478
  6. Step 6: Final answer
    x = 351,801.86

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