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Finding the Third Proportional to 47,106 and 99,051

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Solution

The third proportional to 47,106 and 99,051 is: 208,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106 : 99,051 = 99,051 : x
  2. Step 2: Convert to fraction form
    47,106/99,051 = 99,051/x
  3. Step 3: Cross multiply
    47,106x = 99,051 × 99,051
  4. Step 4: Simplify right side
    47,106x = 9,811,100,601
  5. Step 5: Solve for x
    x = 9,811,100,601/47,106
  6. Step 6: Final answer
    x = 208,277.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.