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Finding the Third Proportional to 82,125.56 and 90,765.56

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Solution

The third proportional to 82,125.56 and 90,765.56 is: 100,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,125.56 : 90,765.56 = 90,765.56 : x
  2. Step 2: Convert to fraction form
    82,125.56/90,765.56 = 90,765.56/x
  3. Step 3: Cross multiply
    82,125.56x = 90,765.56 × 90,765.56
  4. Step 4: Simplify right side
    82,125.56x = 8,238,387,335.94
  5. Step 5: Solve for x
    x = 8,238,387,335.94/82,125.56
  6. Step 6: Final answer
    x = 100,314.53

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.