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Finding the Third Proportional to 76,482 and 164,035.25

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Solution

The third proportional to 76,482 and 164,035.25 is: 351,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482 : 164,035.25 = 164,035.25 : x
  2. Step 2: Convert to fraction form
    76,482/164,035.25 = 164,035.25/x
  3. Step 3: Cross multiply
    76,482x = 164,035.25 × 164,035.25
  4. Step 4: Simplify right side
    76,482x = 26,907,563,242.56
  5. Step 5: Solve for x
    x = 26,907,563,242.56/76,482
  6. Step 6: Final answer
    x = 351,815.63

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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.