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Finding the Third Proportional to 66,150 and 142,668

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Solution

The third proportional to 66,150 and 142,668 is: 307,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,150 : 142,668 = 142,668 : x
  2. Step 2: Convert to fraction form
    66,150/142,668 = 142,668/x
  3. Step 3: Cross multiply
    66,150x = 142,668 × 142,668
  4. Step 4: Simplify right side
    66,150x = 20,354,158,224
  5. Step 5: Solve for x
    x = 20,354,158,224/66,150
  6. Step 6: Final answer
    x = 307,697.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.