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Finding the Third Proportional to 70,022 and 110,873

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Solution

The third proportional to 70,022 and 110,873 is: 175,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,022 : 110,873 = 110,873 : x
  2. Step 2: Convert to fraction form
    70,022/110,873 = 110,873/x
  3. Step 3: Cross multiply
    70,022x = 110,873 × 110,873
  4. Step 4: Simplify right side
    70,022x = 12,292,822,129
  5. Step 5: Solve for x
    x = 12,292,822,129/70,022
  6. Step 6: Final answer
    x = 175,556.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.