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Finding the Third Proportional to 74,112 and 110,963

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Solution

The third proportional to 74,112 and 110,963 is: 166,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112 : 110,963 = 110,963 : x
  2. Step 2: Convert to fraction form
    74,112/110,963 = 110,963/x
  3. Step 3: Cross multiply
    74,112x = 110,963 × 110,963
  4. Step 4: Simplify right side
    74,112x = 12,312,787,369
  5. Step 5: Solve for x
    x = 12,312,787,369/74,112
  6. Step 6: Final answer
    x = 166,137.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.