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Finding the Third Proportional to 111,052 and 169,338

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Solution

The third proportional to 111,052 and 169,338 is: 258,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,052 : 169,338 = 169,338 : x
  2. Step 2: Convert to fraction form
    111,052/169,338 = 169,338/x
  3. Step 3: Cross multiply
    111,052x = 169,338 × 169,338
  4. Step 4: Simplify right side
    111,052x = 28,675,358,244
  5. Step 5: Solve for x
    x = 28,675,358,244/111,052
  6. Step 6: Final answer
    x = 258,215.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.