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Finding the Third Proportional to 58,296.94 and 120,738.38

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Solution

The third proportional to 58,296.94 and 120,738.38 is: 250,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296.94 : 120,738.38 = 120,738.38 : x
  2. Step 2: Convert to fraction form
    58,296.94/120,738.38 = 120,738.38/x
  3. Step 3: Cross multiply
    58,296.94x = 120,738.38 × 120,738.38
  4. Step 4: Simplify right side
    58,296.94x = 14,577,755,197.64
  5. Step 5: Solve for x
    x = 14,577,755,197.64/58,296.94
  6. Step 6: Final answer
    x = 250,060.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.