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Finding the Third Proportional to 59,189 and 125,722

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Solution

The third proportional to 59,189 and 125,722 is: 267,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,189 : 125,722 = 125,722 : x
  2. Step 2: Convert to fraction form
    59,189/125,722 = 125,722/x
  3. Step 3: Cross multiply
    59,189x = 125,722 × 125,722
  4. Step 4: Simplify right side
    59,189x = 15,806,021,284
  5. Step 5: Solve for x
    x = 15,806,021,284/59,189
  6. Step 6: Final answer
    x = 267,043.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.