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Finding the Third Proportional to 76,482 and 164,036

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Solution

The third proportional to 76,482 and 164,036 is: 351,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482 : 164,036 = 164,036 : x
  2. Step 2: Convert to fraction form
    76,482/164,036 = 164,036/x
  3. Step 3: Cross multiply
    76,482x = 164,036 × 164,036
  4. Step 4: Simplify right side
    76,482x = 26,907,809,296
  5. Step 5: Solve for x
    x = 26,907,809,296/76,482
  6. Step 6: Final answer
    x = 351,818.85

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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.