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Finding the Third Proportional to 58,302 and 126,300

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Solution

The third proportional to 58,302 and 126,300 is: 273,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,302 : 126,300 = 126,300 : x
  2. Step 2: Convert to fraction form
    58,302/126,300 = 126,300/x
  3. Step 3: Cross multiply
    58,302x = 126,300 × 126,300
  4. Step 4: Simplify right side
    58,302x = 15,951,690,000
  5. Step 5: Solve for x
    x = 15,951,690,000/58,302
  6. Step 6: Final answer
    x = 273,604.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.