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Finding the Third Proportional to 82,653 and 178,425

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Solution

The third proportional to 82,653 and 178,425 is: 385,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,653 : 178,425 = 178,425 : x
  2. Step 2: Convert to fraction form
    82,653/178,425 = 178,425/x
  3. Step 3: Cross multiply
    82,653x = 178,425 × 178,425
  4. Step 4: Simplify right side
    82,653x = 31,835,480,625
  5. Step 5: Solve for x
    x = 31,835,480,625/82,653
  6. Step 6: Final answer
    x = 385,170.30

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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.