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Finding the Third Proportional to 126,623.25 and 196,004.81

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Solution

The third proportional to 126,623.25 and 196,004.81 is: 303,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,623.25 : 196,004.81 = 196,004.81 : x
  2. Step 2: Convert to fraction form
    126,623.25/196,004.81 = 196,004.81/x
  3. Step 3: Cross multiply
    126,623.25x = 196,004.81 × 196,004.81
  4. Step 4: Simplify right side
    126,623.25x = 38,417,886,523.16
  5. Step 5: Solve for x
    x = 38,417,886,523.16/126,623.25
  6. Step 6: Final answer
    x = 303,403.10

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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.