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Finding the Third Proportional to 111,898 and 170,768

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Solution

The third proportional to 111,898 and 170,768 is: 260,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,898 : 170,768 = 170,768 : x
  2. Step 2: Convert to fraction form
    111,898/170,768 = 170,768/x
  3. Step 3: Cross multiply
    111,898x = 170,768 × 170,768
  4. Step 4: Simplify right side
    111,898x = 29,161,709,824
  5. Step 5: Solve for x
    x = 29,161,709,824/111,898
  6. Step 6: Final answer
    x = 260,609.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.