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Finding the Third Proportional to 123,837 and 265,170

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Solution

The third proportional to 123,837 and 265,170 is: 567,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,837 : 265,170 = 265,170 : x
  2. Step 2: Convert to fraction form
    123,837/265,170 = 265,170/x
  3. Step 3: Cross multiply
    123,837x = 265,170 × 265,170
  4. Step 4: Simplify right side
    123,837x = 70,315,128,900
  5. Step 5: Solve for x
    x = 70,315,128,900/123,837
  6. Step 6: Final answer
    x = 567,803.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.