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Finding the Third Proportional to 126,275.63 and 196,053.47

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Solution

The third proportional to 126,275.63 and 196,053.47 is: 304,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,275.63 : 196,053.47 = 196,053.47 : x
  2. Step 2: Convert to fraction form
    126,275.63/196,053.47 = 196,053.47/x
  3. Step 3: Cross multiply
    126,275.63x = 196,053.47 × 196,053.47
  4. Step 4: Simplify right side
    126,275.63x = 38,436,962,608.91
  5. Step 5: Solve for x
    x = 38,436,962,608.91/126,275.63
  6. Step 6: Final answer
    x = 304,389.41

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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.