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Finding the Third Proportional to 85,398.75 and 128,076.75

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Solution

The third proportional to 85,398.75 and 128,076.75 is: 192,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,398.75 : 128,076.75 = 128,076.75 : x
  2. Step 2: Convert to fraction form
    85,398.75/128,076.75 = 128,076.75/x
  3. Step 3: Cross multiply
    85,398.75x = 128,076.75 × 128,076.75
  4. Step 4: Simplify right side
    85,398.75x = 16,403,653,890.56
  5. Step 5: Solve for x
    x = 16,403,653,890.56/85,398.75
  6. Step 6: Final answer
    x = 192,083.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.