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Finding the Third Proportional to 114,524 and 173,041

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Solution

The third proportional to 114,524 and 173,041 is: 261,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,524 : 173,041 = 173,041 : x
  2. Step 2: Convert to fraction form
    114,524/173,041 = 173,041/x
  3. Step 3: Cross multiply
    114,524x = 173,041 × 173,041
  4. Step 4: Simplify right side
    114,524x = 29,943,187,681
  5. Step 5: Solve for x
    x = 29,943,187,681/114,524
  6. Step 6: Final answer
    x = 261,457.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.