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Finding the Third Proportional to 54,734 and 113,570

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Solution

The third proportional to 54,734 and 113,570 is: 235,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734 : 113,570 = 113,570 : x
  2. Step 2: Convert to fraction form
    54,734/113,570 = 113,570/x
  3. Step 3: Cross multiply
    54,734x = 113,570 × 113,570
  4. Step 4: Simplify right side
    54,734x = 12,898,144,900
  5. Step 5: Solve for x
    x = 12,898,144,900/54,734
  6. Step 6: Final answer
    x = 235,651.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.