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Finding the Third Proportional to 54,748.13 and 103,771.69

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Solution

The third proportional to 54,748.13 and 103,771.69 is: 196,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748.13 : 103,771.69 = 103,771.69 : x
  2. Step 2: Convert to fraction form
    54,748.13/103,771.69 = 103,771.69/x
  3. Step 3: Cross multiply
    54,748.13x = 103,771.69 × 103,771.69
  4. Step 4: Simplify right side
    54,748.13x = 10,768,563,126.60
  5. Step 5: Solve for x
    x = 10,768,563,126.60/54,748.13
  6. Step 6: Final answer
    x = 196,692.82

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.