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Finding the Third Proportional to 75,182 and 161,704

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Solution

The third proportional to 75,182 and 161,704 is: 347,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,182 : 161,704 = 161,704 : x
  2. Step 2: Convert to fraction form
    75,182/161,704 = 161,704/x
  3. Step 3: Cross multiply
    75,182x = 161,704 × 161,704
  4. Step 4: Simplify right side
    75,182x = 26,148,183,616
  5. Step 5: Solve for x
    x = 26,148,183,616/75,182
  6. Step 6: Final answer
    x = 347,798.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.