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Finding the Third Proportional to 74,149.88 and 114,910.88

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Solution

The third proportional to 74,149.88 and 114,910.88 is: 178,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,149.88 : 114,910.88 = 114,910.88 : x
  2. Step 2: Convert to fraction form
    74,149.88/114,910.88 = 114,910.88/x
  3. Step 3: Cross multiply
    74,149.88x = 114,910.88 × 114,910.88
  4. Step 4: Simplify right side
    74,149.88x = 13,204,509,193.27
  5. Step 5: Solve for x
    x = 13,204,509,193.27/74,149.88
  6. Step 6: Final answer
    x = 178,078.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.