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Finding the Third Proportional to 65,482 and 142,052

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Solution

The third proportional to 65,482 and 142,052 is: 308,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482 : 142,052 = 142,052 : x
  2. Step 2: Convert to fraction form
    65,482/142,052 = 142,052/x
  3. Step 3: Cross multiply
    65,482x = 142,052 × 142,052
  4. Step 4: Simplify right side
    65,482x = 20,178,770,704
  5. Step 5: Solve for x
    x = 20,178,770,704/65,482
  6. Step 6: Final answer
    x = 308,157.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.