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Finding the Third Proportional to 47,112 and 99,732

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Solution

The third proportional to 47,112 and 99,732 is: 211,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,112 : 99,732 = 99,732 : x
  2. Step 2: Convert to fraction form
    47,112/99,732 = 99,732/x
  3. Step 3: Cross multiply
    47,112x = 99,732 × 99,732
  4. Step 4: Simplify right side
    47,112x = 9,946,471,824
  5. Step 5: Solve for x
    x = 9,946,471,824/47,112
  6. Step 6: Final answer
    x = 211,123.96

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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.