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Finding the Third Proportional to 111,939 and 155,148

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Solution

The third proportional to 111,939 and 155,148 is: 215,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,939 : 155,148 = 155,148 : x
  2. Step 2: Convert to fraction form
    111,939/155,148 = 155,148/x
  3. Step 3: Cross multiply
    111,939x = 155,148 × 155,148
  4. Step 4: Simplify right side
    111,939x = 24,070,901,904
  5. Step 5: Solve for x
    x = 24,070,901,904/111,939
  6. Step 6: Final answer
    x = 215,035.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.