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Finding the Third Proportional to 48,000 and 100,480

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Solution

The third proportional to 48,000 and 100,480 is: 210,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000 : 100,480 = 100,480 : x
  2. Step 2: Convert to fraction form
    48,000/100,480 = 100,480/x
  3. Step 3: Cross multiply
    48,000x = 100,480 × 100,480
  4. Step 4: Simplify right side
    48,000x = 10,096,230,400
  5. Step 5: Solve for x
    x = 10,096,230,400/48,000
  6. Step 6: Final answer
    x = 210,338.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.