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Finding the Third Proportional to 82,089 and 167,715

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Solution

The third proportional to 82,089 and 167,715 is: 342,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,089 : 167,715 = 167,715 : x
  2. Step 2: Convert to fraction form
    82,089/167,715 = 167,715/x
  3. Step 3: Cross multiply
    82,089x = 167,715 × 167,715
  4. Step 4: Simplify right side
    82,089x = 28,128,321,225
  5. Step 5: Solve for x
    x = 28,128,321,225/82,089
  6. Step 6: Final answer
    x = 342,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.