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Finding the Third Proportional to 75,571 and 117,953

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Solution

The third proportional to 75,571 and 117,953 is: 184,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,571 : 117,953 = 117,953 : x
  2. Step 2: Convert to fraction form
    75,571/117,953 = 117,953/x
  3. Step 3: Cross multiply
    75,571x = 117,953 × 117,953
  4. Step 4: Simplify right side
    75,571x = 13,912,910,209
  5. Step 5: Solve for x
    x = 13,912,910,209/75,571
  6. Step 6: Final answer
    x = 184,103.83

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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.