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Finding the Third Proportional to 86,229.88 and 128,813.75

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Solution

The third proportional to 86,229.88 and 128,813.75 is: 192,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,229.88 : 128,813.75 = 128,813.75 : x
  2. Step 2: Convert to fraction form
    86,229.88/128,813.75 = 128,813.75/x
  3. Step 3: Cross multiply
    86,229.88x = 128,813.75 × 128,813.75
  4. Step 4: Simplify right side
    86,229.88x = 16,592,982,189.06
  5. Step 5: Solve for x
    x = 16,592,982,189.06/86,229.88
  6. Step 6: Final answer
    x = 192,427.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.