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Finding the Third Proportional to 47,112 and 99,678

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Solution

The third proportional to 47,112 and 99,678 is: 210,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,112 : 99,678 = 99,678 : x
  2. Step 2: Convert to fraction form
    47,112/99,678 = 99,678/x
  3. Step 3: Cross multiply
    47,112x = 99,678 × 99,678
  4. Step 4: Simplify right side
    47,112x = 9,935,703,684
  5. Step 5: Solve for x
    x = 9,935,703,684/47,112
  6. Step 6: Final answer
    x = 210,895.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.