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Finding the Third Proportional to 76,300 and 161,176

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Solution

The third proportional to 76,300 and 161,176 is: 340,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,300 : 161,176 = 161,176 : x
  2. Step 2: Convert to fraction form
    76,300/161,176 = 161,176/x
  3. Step 3: Cross multiply
    76,300x = 161,176 × 161,176
  4. Step 4: Simplify right side
    76,300x = 25,977,702,976
  5. Step 5: Solve for x
    x = 25,977,702,976/76,300
  6. Step 6: Final answer
    x = 340,467.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.