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Finding the Third Proportional to 63,191 and 136,174

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Solution

The third proportional to 63,191 and 136,174 is: 293,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,191 : 136,174 = 136,174 : x
  2. Step 2: Convert to fraction form
    63,191/136,174 = 136,174/x
  3. Step 3: Cross multiply
    63,191x = 136,174 × 136,174
  4. Step 4: Simplify right side
    63,191x = 18,543,358,276
  5. Step 5: Solve for x
    x = 18,543,358,276/63,191
  6. Step 6: Final answer
    x = 293,449.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.