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Finding the Third Proportional to 74,042 and 110,199

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Solution

The third proportional to 74,042 and 110,199 is: 164,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,042 : 110,199 = 110,199 : x
  2. Step 2: Convert to fraction form
    74,042/110,199 = 110,199/x
  3. Step 3: Cross multiply
    74,042x = 110,199 × 110,199
  4. Step 4: Simplify right side
    74,042x = 12,143,819,601
  5. Step 5: Solve for x
    x = 12,143,819,601/74,042
  6. Step 6: Final answer
    x = 164,012.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.