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Finding the Third Proportional to 123,765 and 193,041

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Solution

The third proportional to 123,765 and 193,041 is: 301,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,765 : 193,041 = 193,041 : x
  2. Step 2: Convert to fraction form
    123,765/193,041 = 193,041/x
  3. Step 3: Cross multiply
    123,765x = 193,041 × 193,041
  4. Step 4: Simplify right side
    123,765x = 37,264,827,681
  5. Step 5: Solve for x
    x = 37,264,827,681/123,765
  6. Step 6: Final answer
    x = 301,093.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.