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Finding the Third Proportional to 49,964 and 74,189

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Solution

The third proportional to 49,964 and 74,189 is: 110,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,964 : 74,189 = 74,189 : x
  2. Step 2: Convert to fraction form
    49,964/74,189 = 74,189/x
  3. Step 3: Cross multiply
    49,964x = 74,189 × 74,189
  4. Step 4: Simplify right side
    49,964x = 5,504,007,721
  5. Step 5: Solve for x
    x = 5,504,007,721/49,964
  6. Step 6: Final answer
    x = 110,159.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.