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Finding the Third Proportional to 34,242 and 75,196

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Solution

The third proportional to 34,242 and 75,196 is: 165,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242 : 75,196 = 75,196 : x
  2. Step 2: Convert to fraction form
    34,242/75,196 = 75,196/x
  3. Step 3: Cross multiply
    34,242x = 75,196 × 75,196
  4. Step 4: Simplify right side
    34,242x = 5,654,438,416
  5. Step 5: Solve for x
    x = 5,654,438,416/34,242
  6. Step 6: Final answer
    x = 165,131.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.