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Finding the Third Proportional to 111,544 and 173,904

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Solution

The third proportional to 111,544 and 173,904 is: 271,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,544 : 173,904 = 173,904 : x
  2. Step 2: Convert to fraction form
    111,544/173,904 = 173,904/x
  3. Step 3: Cross multiply
    111,544x = 173,904 × 173,904
  4. Step 4: Simplify right side
    111,544x = 30,242,601,216
  5. Step 5: Solve for x
    x = 30,242,601,216/111,544
  6. Step 6: Final answer
    x = 271,127.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.