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Finding the Third Proportional to 71,708 and 155,851

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Solution

The third proportional to 71,708 and 155,851 is: 338,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708 : 155,851 = 155,851 : x
  2. Step 2: Convert to fraction form
    71,708/155,851 = 155,851/x
  3. Step 3: Cross multiply
    71,708x = 155,851 × 155,851
  4. Step 4: Simplify right side
    71,708x = 24,289,534,201
  5. Step 5: Solve for x
    x = 24,289,534,201/71,708
  6. Step 6: Final answer
    x = 338,728.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.