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Finding the Third Proportional to 34,327.13 and 74,363.44

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Solution

The third proportional to 34,327.13 and 74,363.44 is: 161,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,327.13 : 74,363.44 = 74,363.44 : x
  2. Step 2: Convert to fraction form
    34,327.13/74,363.44 = 74,363.44/x
  3. Step 3: Cross multiply
    34,327.13x = 74,363.44 × 74,363.44
  4. Step 4: Simplify right side
    34,327.13x = 5,529,920,836.82
  5. Step 5: Solve for x
    x = 5,529,920,836.82/34,327.13
  6. Step 6: Final answer
    x = 161,094.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.