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Finding the Third Proportional to 79,940 and 123,018

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Solution

The third proportional to 79,940 and 123,018 is: 189,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,940 : 123,018 = 123,018 : x
  2. Step 2: Convert to fraction form
    79,940/123,018 = 123,018/x
  3. Step 3: Cross multiply
    79,940x = 123,018 × 123,018
  4. Step 4: Simplify right side
    79,940x = 15,133,428,324
  5. Step 5: Solve for x
    x = 15,133,428,324/79,940
  6. Step 6: Final answer
    x = 189,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.