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Finding the Third Proportional to 111,014 and 169,302

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Solution

The third proportional to 111,014 and 169,302 is: 258,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,014 : 169,302 = 169,302 : x
  2. Step 2: Convert to fraction form
    111,014/169,302 = 169,302/x
  3. Step 3: Cross multiply
    111,014x = 169,302 × 169,302
  4. Step 4: Simplify right side
    111,014x = 28,663,167,204
  5. Step 5: Solve for x
    x = 28,663,167,204/111,014
  6. Step 6: Final answer
    x = 258,194.17

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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.