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Finding the Third Proportional to 107,520 and 166,824

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Solution

The third proportional to 107,520 and 166,824 is: 258,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,520 : 166,824 = 166,824 : x
  2. Step 2: Convert to fraction form
    107,520/166,824 = 166,824/x
  3. Step 3: Cross multiply
    107,520x = 166,824 × 166,824
  4. Step 4: Simplify right side
    107,520x = 27,830,246,976
  5. Step 5: Solve for x
    x = 27,830,246,976/107,520
  6. Step 6: Final answer
    x = 258,837.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.