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Finding the Third Proportional to 75,610 and 160,170

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Solution

The third proportional to 75,610 and 160,170 is: 339,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,610 : 160,170 = 160,170 : x
  2. Step 2: Convert to fraction form
    75,610/160,170 = 160,170/x
  3. Step 3: Cross multiply
    75,610x = 160,170 × 160,170
  4. Step 4: Simplify right side
    75,610x = 25,654,428,900
  5. Step 5: Solve for x
    x = 25,654,428,900/75,610
  6. Step 6: Final answer
    x = 339,299.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.