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Finding the Third Proportional to 66,029 and 142,325

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Solution

The third proportional to 66,029 and 142,325 is: 306,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,029 : 142,325 = 142,325 : x
  2. Step 2: Convert to fraction form
    66,029/142,325 = 142,325/x
  3. Step 3: Cross multiply
    66,029x = 142,325 × 142,325
  4. Step 4: Simplify right side
    66,029x = 20,256,405,625
  5. Step 5: Solve for x
    x = 20,256,405,625/66,029
  6. Step 6: Final answer
    x = 306,780.44

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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.