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Finding the Third Proportional to 71,568 and 161,397

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Solution

The third proportional to 71,568 and 161,397 is: 363,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568 : 161,397 = 161,397 : x
  2. Step 2: Convert to fraction form
    71,568/161,397 = 161,397/x
  3. Step 3: Cross multiply
    71,568x = 161,397 × 161,397
  4. Step 4: Simplify right side
    71,568x = 26,048,991,609
  5. Step 5: Solve for x
    x = 26,048,991,609/71,568
  6. Step 6: Final answer
    x = 363,975.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.