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Finding the Third Proportional to 57,510 and 125,682

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Solution

The third proportional to 57,510 and 125,682 is: 274,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,510 : 125,682 = 125,682 : x
  2. Step 2: Convert to fraction form
    57,510/125,682 = 125,682/x
  3. Step 3: Cross multiply
    57,510x = 125,682 × 125,682
  4. Step 4: Simplify right side
    57,510x = 15,795,965,124
  5. Step 5: Solve for x
    x = 15,795,965,124/57,510
  6. Step 6: Final answer
    x = 274,664.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.