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Finding the Third Proportional to 117,120 and 252,544

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Solution

The third proportional to 117,120 and 252,544 is: 544,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,120 : 252,544 = 252,544 : x
  2. Step 2: Convert to fraction form
    117,120/252,544 = 252,544/x
  3. Step 3: Cross multiply
    117,120x = 252,544 × 252,544
  4. Step 4: Simplify right side
    117,120x = 63,778,471,936
  5. Step 5: Solve for x
    x = 63,778,471,936/117,120
  6. Step 6: Final answer
    x = 544,556.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.