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Finding the Third Proportional to 111,773 and 169,103

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Solution

The third proportional to 111,773 and 169,103 is: 255,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,773 : 169,103 = 169,103 : x
  2. Step 2: Convert to fraction form
    111,773/169,103 = 169,103/x
  3. Step 3: Cross multiply
    111,773x = 169,103 × 169,103
  4. Step 4: Simplify right side
    111,773x = 28,595,824,609
  5. Step 5: Solve for x
    x = 28,595,824,609/111,773
  6. Step 6: Final answer
    x = 255,838.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.