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Finding the Third Proportional to 49,289 and 80,085

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Solution

The third proportional to 49,289 and 80,085 is: 130,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,289 : 80,085 = 80,085 : x
  2. Step 2: Convert to fraction form
    49,289/80,085 = 80,085/x
  3. Step 3: Cross multiply
    49,289x = 80,085 × 80,085
  4. Step 4: Simplify right side
    49,289x = 6,413,607,225
  5. Step 5: Solve for x
    x = 6,413,607,225/49,289
  6. Step 6: Final answer
    x = 130,122.49

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.