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Finding the Third Proportional to 73,421 and 160,162

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Solution

The third proportional to 73,421 and 160,162 is: 349,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,421 : 160,162 = 160,162 : x
  2. Step 2: Convert to fraction form
    73,421/160,162 = 160,162/x
  3. Step 3: Cross multiply
    73,421x = 160,162 × 160,162
  4. Step 4: Simplify right side
    73,421x = 25,651,866,244
  5. Step 5: Solve for x
    x = 25,651,866,244/73,421
  6. Step 6: Final answer
    x = 349,380.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.