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Finding the Third Proportional to 94,137.19 and 131,971.78

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Solution

The third proportional to 94,137.19 and 131,971.78 is: 185,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,137.19 : 131,971.78 = 131,971.78 : x
  2. Step 2: Convert to fraction form
    94,137.19/131,971.78 = 131,971.78/x
  3. Step 3: Cross multiply
    94,137.19x = 131,971.78 × 131,971.78
  4. Step 4: Simplify right side
    94,137.19x = 17,416,551,046.30
  5. Step 5: Solve for x
    x = 17,416,551,046.30/94,137.19
  6. Step 6: Final answer
    x = 185,012.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.