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Finding the Third Proportional to 75,534 and 160,041

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Solution

The third proportional to 75,534 and 160,041 is: 339,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534 : 160,041 = 160,041 : x
  2. Step 2: Convert to fraction form
    75,534/160,041 = 160,041/x
  3. Step 3: Cross multiply
    75,534x = 160,041 × 160,041
  4. Step 4: Simplify right side
    75,534x = 25,613,121,681
  5. Step 5: Solve for x
    x = 25,613,121,681/75,534
  6. Step 6: Final answer
    x = 339,093.94

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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.