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Finding the Third Proportional to 50,739.54 and 110,123.14

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Solution

The third proportional to 50,739.54 and 110,123.14 is: 239,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,739.54 : 110,123.14 = 110,123.14 : x
  2. Step 2: Convert to fraction form
    50,739.54/110,123.14 = 110,123.14/x
  3. Step 3: Cross multiply
    50,739.54x = 110,123.14 × 110,123.14
  4. Step 4: Simplify right side
    50,739.54x = 12,127,105,670.95
  5. Step 5: Solve for x
    x = 12,127,105,670.95/50,739.54
  6. Step 6: Final answer
    x = 239,007.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.