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Finding the Third Proportional to 126,754 and 273,604

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Solution

The third proportional to 126,754 and 273,604 is: 590,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,754 : 273,604 = 273,604 : x
  2. Step 2: Convert to fraction form
    126,754/273,604 = 273,604/x
  3. Step 3: Cross multiply
    126,754x = 273,604 × 273,604
  4. Step 4: Simplify right side
    126,754x = 74,859,148,816
  5. Step 5: Solve for x
    x = 74,859,148,816/126,754
  6. Step 6: Final answer
    x = 590,586.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.