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Finding the Third Proportional to 75,233 and 114,327

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Solution

The third proportional to 75,233 and 114,327 is: 173,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,233 : 114,327 = 114,327 : x
  2. Step 2: Convert to fraction form
    75,233/114,327 = 114,327/x
  3. Step 3: Cross multiply
    75,233x = 114,327 × 114,327
  4. Step 4: Simplify right side
    75,233x = 13,070,662,929
  5. Step 5: Solve for x
    x = 13,070,662,929/75,233
  6. Step 6: Final answer
    x = 173,735.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.