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Finding the Third Proportional to 126,754.88 and 197,407.13

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Solution

The third proportional to 126,754.88 and 197,407.13 is: 307,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,754.88 : 197,407.13 = 197,407.13 : x
  2. Step 2: Convert to fraction form
    126,754.88/197,407.13 = 197,407.13/x
  3. Step 3: Cross multiply
    126,754.88x = 197,407.13 × 197,407.13
  4. Step 4: Simplify right side
    126,754.88x = 38,969,573,000.77
  5. Step 5: Solve for x
    x = 38,969,573,000.77/126,754.88
  6. Step 6: Final answer
    x = 307,440.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.