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Finding the Third Proportional to 124,021.50 and 185,679

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Solution

The third proportional to 124,021.50 and 185,679 is: 277,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,021.50 : 185,679 = 185,679 : x
  2. Step 2: Convert to fraction form
    124,021.50/185,679 = 185,679/x
  3. Step 3: Cross multiply
    124,021.50x = 185,679 × 185,679
  4. Step 4: Simplify right side
    124,021.50x = 34,476,691,041
  5. Step 5: Solve for x
    x = 34,476,691,041/124,021.50
  6. Step 6: Final answer
    x = 277,989.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.