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Finding the Third Proportional to 82,912.50 and 179,034

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Solution

The third proportional to 82,912.50 and 179,034 is: 386,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.50 : 179,034 = 179,034 : x
  2. Step 2: Convert to fraction form
    82,912.50/179,034 = 179,034/x
  3. Step 3: Cross multiply
    82,912.50x = 179,034 × 179,034
  4. Step 4: Simplify right side
    82,912.50x = 32,053,173,156
  5. Step 5: Solve for x
    x = 32,053,173,156/82,912.50
  6. Step 6: Final answer
    x = 386,590.36

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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.