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Finding the Third Proportional to 139,744.13 and 197,546.63

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Solution

The third proportional to 139,744.13 and 197,546.63 is: 279,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,744.13 : 197,546.63 = 197,546.63 : x
  2. Step 2: Convert to fraction form
    139,744.13/197,546.63 = 197,546.63/x
  3. Step 3: Cross multiply
    139,744.13x = 197,546.63 × 197,546.63
  4. Step 4: Simplify right side
    139,744.13x = 39,024,669,048.89
  5. Step 5: Solve for x
    x = 39,024,669,048.89/139,744.13
  6. Step 6: Final answer
    x = 279,258.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.