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Finding the Third Proportional to 79,955 and 162,655

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Solution

The third proportional to 79,955 and 162,655 is: 330,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,955 : 162,655 = 162,655 : x
  2. Step 2: Convert to fraction form
    79,955/162,655 = 162,655/x
  3. Step 3: Cross multiply
    79,955x = 162,655 × 162,655
  4. Step 4: Simplify right side
    79,955x = 26,456,649,025
  5. Step 5: Solve for x
    x = 26,456,649,025/79,955
  6. Step 6: Final answer
    x = 330,894.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.