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Finding the Third Proportional to 66,268 and 142,000

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Solution

The third proportional to 66,268 and 142,000 is: 304,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,268 : 142,000 = 142,000 : x
  2. Step 2: Convert to fraction form
    66,268/142,000 = 142,000/x
  3. Step 3: Cross multiply
    66,268x = 142,000 × 142,000
  4. Step 4: Simplify right side
    66,268x = 20,164,000,000
  5. Step 5: Solve for x
    x = 20,164,000,000/66,268
  6. Step 6: Final answer
    x = 304,279.59

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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.