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Finding the Third Proportional to 47,811 and 130,068

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Solution

The third proportional to 47,811 and 130,068 is: 353,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,811 : 130,068 = 130,068 : x
  2. Step 2: Convert to fraction form
    47,811/130,068 = 130,068/x
  3. Step 3: Cross multiply
    47,811x = 130,068 × 130,068
  4. Step 4: Simplify right side
    47,811x = 16,917,684,624
  5. Step 5: Solve for x
    x = 16,917,684,624/47,811
  6. Step 6: Final answer
    x = 353,845.03

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.