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Finding the Third Proportional to 74,740 and 112,110

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Solution

The third proportional to 74,740 and 112,110 is: 168,165

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,740 : 112,110 = 112,110 : x
  2. Step 2: Convert to fraction form
    74,740/112,110 = 112,110/x
  3. Step 3: Cross multiply
    74,740x = 112,110 × 112,110
  4. Step 4: Simplify right side
    74,740x = 12,568,652,100
  5. Step 5: Solve for x
    x = 12,568,652,100/74,740
  6. Step 6: Final answer
    x = 168,165

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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.