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Finding the Third Proportional to 55,996.69 and 86,703.56

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Solution

The third proportional to 55,996.69 and 86,703.56 is: 134,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,996.69 : 86,703.56 = 86,703.56 : x
  2. Step 2: Convert to fraction form
    55,996.69/86,703.56 = 86,703.56/x
  3. Step 3: Cross multiply
    55,996.69x = 86,703.56 × 86,703.56
  4. Step 4: Simplify right side
    55,996.69x = 7,517,507,750.19
  5. Step 5: Solve for x
    x = 7,517,507,750.19/55,996.69
  6. Step 6: Final answer
    x = 134,249.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.