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Finding the Third Proportional to 113,872.50 and 157,893.75

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Solution

The third proportional to 113,872.50 and 157,893.75 is: 218,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,872.50 : 157,893.75 = 157,893.75 : x
  2. Step 2: Convert to fraction form
    113,872.50/157,893.75 = 157,893.75/x
  3. Step 3: Cross multiply
    113,872.50x = 157,893.75 × 157,893.75
  4. Step 4: Simplify right side
    113,872.50x = 24,930,436,289.06
  5. Step 5: Solve for x
    x = 24,930,436,289.06/113,872.50
  6. Step 6: Final answer
    x = 218,932.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.