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Finding the Third Proportional to 51,905.81 and 112,149.56

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Solution

The third proportional to 51,905.81 and 112,149.56 is: 242,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905.81 : 112,149.56 = 112,149.56 : x
  2. Step 2: Convert to fraction form
    51,905.81/112,149.56 = 112,149.56/x
  3. Step 3: Cross multiply
    51,905.81x = 112,149.56 × 112,149.56
  4. Step 4: Simplify right side
    51,905.81x = 12,577,524,368.94
  5. Step 5: Solve for x
    x = 12,577,524,368.94/51,905.81
  6. Step 6: Final answer
    x = 242,314.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.