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Finding the Third Proportional to 47,142 and 102,612

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Solution

The third proportional to 47,142 and 102,612 is: 223,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142 : 102,612 = 102,612 : x
  2. Step 2: Convert to fraction form
    47,142/102,612 = 102,612/x
  3. Step 3: Cross multiply
    47,142x = 102,612 × 102,612
  4. Step 4: Simplify right side
    47,142x = 10,529,222,544
  5. Step 5: Solve for x
    x = 10,529,222,544/47,142
  6. Step 6: Final answer
    x = 223,351.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.