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Finding the Third Proportional to 73,838 and 162,444

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Solution

The third proportional to 73,838 and 162,444 is: 357,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,838 : 162,444 = 162,444 : x
  2. Step 2: Convert to fraction form
    73,838/162,444 = 162,444/x
  3. Step 3: Cross multiply
    73,838x = 162,444 × 162,444
  4. Step 4: Simplify right side
    73,838x = 26,388,053,136
  5. Step 5: Solve for x
    x = 26,388,053,136/73,838
  6. Step 6: Final answer
    x = 357,377.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.