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Finding the Third Proportional to 82,162 and 118,706

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Solution

The third proportional to 82,162 and 118,706 is: 171,504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162 : 118,706 = 118,706 : x
  2. Step 2: Convert to fraction form
    82,162/118,706 = 118,706/x
  3. Step 3: Cross multiply
    82,162x = 118,706 × 118,706
  4. Step 4: Simplify right side
    82,162x = 14,091,114,436
  5. Step 5: Solve for x
    x = 14,091,114,436/82,162
  6. Step 6: Final answer
    x = 171,504.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.