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Finding the Third Proportional to 123,633.84 and 185,416.59

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Solution

The third proportional to 123,633.84 and 185,416.59 is: 278,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,633.84 : 185,416.59 = 185,416.59 : x
  2. Step 2: Convert to fraction form
    123,633.84/185,416.59 = 185,416.59/x
  3. Step 3: Cross multiply
    123,633.84x = 185,416.59 × 185,416.59
  4. Step 4: Simplify right side
    123,633.84x = 34,379,313,237.85
  5. Step 5: Solve for x
    x = 34,379,313,237.85/123,633.84
  6. Step 6: Final answer
    x = 278,073.64

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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.