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Finding the Third Proportional to 112,326 and 173,888

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Solution

The third proportional to 112,326 and 173,888 is: 269,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,326 : 173,888 = 173,888 : x
  2. Step 2: Convert to fraction form
    112,326/173,888 = 173,888/x
  3. Step 3: Cross multiply
    112,326x = 173,888 × 173,888
  4. Step 4: Simplify right side
    112,326x = 30,237,036,544
  5. Step 5: Solve for x
    x = 30,237,036,544/112,326
  6. Step 6: Final answer
    x = 269,190.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.