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Finding the Third Proportional to 94,962 and 147,036

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Solution

The third proportional to 94,962 and 147,036 is: 227,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,962 : 147,036 = 147,036 : x
  2. Step 2: Convert to fraction form
    94,962/147,036 = 147,036/x
  3. Step 3: Cross multiply
    94,962x = 147,036 × 147,036
  4. Step 4: Simplify right side
    94,962x = 21,619,585,296
  5. Step 5: Solve for x
    x = 21,619,585,296/94,962
  6. Step 6: Final answer
    x = 227,665.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.