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Finding the Third Proportional to 73,182 and 163,932

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Solution

The third proportional to 73,182 and 163,932 is: 367,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182 : 163,932 = 163,932 : x
  2. Step 2: Convert to fraction form
    73,182/163,932 = 163,932/x
  3. Step 3: Cross multiply
    73,182x = 163,932 × 163,932
  4. Step 4: Simplify right side
    73,182x = 26,873,700,624
  5. Step 5: Solve for x
    x = 26,873,700,624/73,182
  6. Step 6: Final answer
    x = 367,217.36

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.