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Finding the Third Proportional to 49,374.56 and 109,425.94

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Solution

The third proportional to 49,374.56 and 109,425.94 is: 242,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,374.56 : 109,425.94 = 109,425.94 : x
  2. Step 2: Convert to fraction form
    49,374.56/109,425.94 = 109,425.94/x
  3. Step 3: Cross multiply
    49,374.56x = 109,425.94 × 109,425.94
  4. Step 4: Simplify right side
    49,374.56x = 11,974,035,797.75
  5. Step 5: Solve for x
    x = 11,974,035,797.75/49,374.56
  6. Step 6: Final answer
    x = 242,514.27

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.