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Finding the Third Proportional to 57,770 and 125,017

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Solution

The third proportional to 57,770 and 125,017 is: 270,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770 : 125,017 = 125,017 : x
  2. Step 2: Convert to fraction form
    57,770/125,017 = 125,017/x
  3. Step 3: Cross multiply
    57,770x = 125,017 × 125,017
  4. Step 4: Simplify right side
    57,770x = 15,629,250,289
  5. Step 5: Solve for x
    x = 15,629,250,289/57,770
  6. Step 6: Final answer
    x = 270,542.67

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Why These Related Problems?

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