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Finding the Third Proportional to 126,572.63 and 196,240.54

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Solution

The third proportional to 126,572.63 and 196,240.54 is: 304,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,572.63 : 196,240.54 = 196,240.54 : x
  2. Step 2: Convert to fraction form
    126,572.63/196,240.54 = 196,240.54/x
  3. Step 3: Cross multiply
    126,572.63x = 196,240.54 × 196,240.54
  4. Step 4: Simplify right side
    126,572.63x = 38,510,347,638.41
  5. Step 5: Solve for x
    x = 38,510,347,638.41/126,572.63
  6. Step 6: Final answer
    x = 304,254.95

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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.