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Finding the Third Proportional to 74,722 and 112,163

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Solution

The third proportional to 74,722 and 112,163 is: 168,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,722 : 112,163 = 112,163 : x
  2. Step 2: Convert to fraction form
    74,722/112,163 = 112,163/x
  3. Step 3: Cross multiply
    74,722x = 112,163 × 112,163
  4. Step 4: Simplify right side
    74,722x = 12,580,538,569
  5. Step 5: Solve for x
    x = 12,580,538,569/74,722
  6. Step 6: Final answer
    x = 168,364.59

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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.