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Finding the Third Proportional to 126,000.56 and 263,670.19

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Solution

The third proportional to 126,000.56 and 263,670.19 is: 551,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,000.56 : 263,670.19 = 263,670.19 : x
  2. Step 2: Convert to fraction form
    126,000.56/263,670.19 = 263,670.19/x
  3. Step 3: Cross multiply
    126,000.56x = 263,670.19 × 263,670.19
  4. Step 4: Simplify right side
    126,000.56x = 69,521,967,776.29
  5. Step 5: Solve for x
    x = 69,521,967,776.29/126,000.56
  6. Step 6: Final answer
    x = 551,759.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.