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Finding the Third Proportional to 50,149 and 110,139

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Solution

The third proportional to 50,149 and 110,139 is: 241,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,149 : 110,139 = 110,139 : x
  2. Step 2: Convert to fraction form
    50,149/110,139 = 110,139/x
  3. Step 3: Cross multiply
    50,149x = 110,139 × 110,139
  4. Step 4: Simplify right side
    50,149x = 12,130,599,321
  5. Step 5: Solve for x
    x = 12,130,599,321/50,149
  6. Step 6: Final answer
    x = 241,891.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.