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Finding the Third Proportional to 75,896.44 and 166,555.13

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Solution

The third proportional to 75,896.44 and 166,555.13 is: 365,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,896.44 : 166,555.13 = 166,555.13 : x
  2. Step 2: Convert to fraction form
    75,896.44/166,555.13 = 166,555.13/x
  3. Step 3: Cross multiply
    75,896.44x = 166,555.13 × 166,555.13
  4. Step 4: Simplify right side
    75,896.44x = 27,740,609,663.77
  5. Step 5: Solve for x
    x = 27,740,609,663.77/75,896.44
  6. Step 6: Final answer
    x = 365,506.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.