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Finding the Third Proportional to 85,589.75 and 133,566.25

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Solution

The third proportional to 85,589.75 and 133,566.25 is: 208,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589.75 : 133,566.25 = 133,566.25 : x
  2. Step 2: Convert to fraction form
    85,589.75/133,566.25 = 133,566.25/x
  3. Step 3: Cross multiply
    85,589.75x = 133,566.25 × 133,566.25
  4. Step 4: Simplify right side
    85,589.75x = 17,839,943,139.06
  5. Step 5: Solve for x
    x = 17,839,943,139.06/85,589.75
  6. Step 6: Final answer
    x = 208,435.51

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.