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Finding the Third Proportional to 55,698.50 and 86,286.75

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Solution

The third proportional to 55,698.50 and 86,286.75 is: 133,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,698.50 : 86,286.75 = 86,286.75 : x
  2. Step 2: Convert to fraction form
    55,698.50/86,286.75 = 86,286.75/x
  3. Step 3: Cross multiply
    55,698.50x = 86,286.75 × 86,286.75
  4. Step 4: Simplify right side
    55,698.50x = 7,445,403,225.56
  5. Step 5: Solve for x
    x = 7,445,403,225.56/55,698.50
  6. Step 6: Final answer
    x = 133,673.32

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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.