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Finding the Third Proportional to 74,934 and 112,005

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Solution

The third proportional to 74,934 and 112,005 is: 167,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,934 : 112,005 = 112,005 : x
  2. Step 2: Convert to fraction form
    74,934/112,005 = 112,005/x
  3. Step 3: Cross multiply
    74,934x = 112,005 × 112,005
  4. Step 4: Simplify right side
    74,934x = 12,545,120,025
  5. Step 5: Solve for x
    x = 12,545,120,025/74,934
  6. Step 6: Final answer
    x = 167,415.59

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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.