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Finding the Third Proportional to 73,102 and 160,166

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Solution

The third proportional to 73,102 and 160,166 is: 350,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102 : 160,166 = 160,166 : x
  2. Step 2: Convert to fraction form
    73,102/160,166 = 160,166/x
  3. Step 3: Cross multiply
    73,102x = 160,166 × 160,166
  4. Step 4: Simplify right side
    73,102x = 25,653,147,556
  5. Step 5: Solve for x
    x = 25,653,147,556/73,102
  6. Step 6: Final answer
    x = 350,922.65

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Why These Related Problems?

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