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Finding the Third Proportional to 60,380 and 130,006

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Solution

The third proportional to 60,380 and 130,006 is: 279,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,380 : 130,006 = 130,006 : x
  2. Step 2: Convert to fraction form
    60,380/130,006 = 130,006/x
  3. Step 3: Cross multiply
    60,380x = 130,006 × 130,006
  4. Step 4: Simplify right side
    60,380x = 16,901,560,036
  5. Step 5: Solve for x
    x = 16,901,560,036/60,380
  6. Step 6: Final answer
    x = 279,919.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.