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Finding the Third Proportional to 69,300 and 146,868

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Solution

The third proportional to 69,300 and 146,868 is: 311,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,300 : 146,868 = 146,868 : x
  2. Step 2: Convert to fraction form
    69,300/146,868 = 146,868/x
  3. Step 3: Cross multiply
    69,300x = 146,868 × 146,868
  4. Step 4: Simplify right side
    69,300x = 21,570,209,424
  5. Step 5: Solve for x
    x = 21,570,209,424/69,300
  6. Step 6: Final answer
    x = 311,258.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.