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Finding the Third Proportional to 82,012.50 and 179,204.91

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Solution

The third proportional to 82,012.50 and 179,204.91 is: 391,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.50 : 179,204.91 = 179,204.91 : x
  2. Step 2: Convert to fraction form
    82,012.50/179,204.91 = 179,204.91/x
  3. Step 3: Cross multiply
    82,012.50x = 179,204.91 × 179,204.91
  4. Step 4: Simplify right side
    82,012.50x = 32,114,398,424.07
  5. Step 5: Solve for x
    x = 32,114,398,424.07/82,012.50
  6. Step 6: Final answer
    x = 391,579.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.