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Finding the Third Proportional to 45,374.25 and 104,146.50

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Solution

The third proportional to 45,374.25 and 104,146.50 is: 239,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,374.25 : 104,146.50 = 104,146.50 : x
  2. Step 2: Convert to fraction form
    45,374.25/104,146.50 = 104,146.50/x
  3. Step 3: Cross multiply
    45,374.25x = 104,146.50 × 104,146.50
  4. Step 4: Simplify right side
    45,374.25x = 10,846,493,462.25
  5. Step 5: Solve for x
    x = 10,846,493,462.25/45,374.25
  6. Step 6: Final answer
    x = 239,045.13

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.