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Finding the Third Proportional to 76,191 and 116,221

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Solution

The third proportional to 76,191 and 116,221 is: 177,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,191 : 116,221 = 116,221 : x
  2. Step 2: Convert to fraction form
    76,191/116,221 = 116,221/x
  3. Step 3: Cross multiply
    76,191x = 116,221 × 116,221
  4. Step 4: Simplify right side
    76,191x = 13,507,320,841
  5. Step 5: Solve for x
    x = 13,507,320,841/76,191
  6. Step 6: Final answer
    x = 177,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.