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Finding the Third Proportional to 88,286.06 and 113,359.50

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Solution

The third proportional to 88,286.06 and 113,359.50 is: 145,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,286.06 : 113,359.50 = 113,359.50 : x
  2. Step 2: Convert to fraction form
    88,286.06/113,359.50 = 113,359.50/x
  3. Step 3: Cross multiply
    88,286.06x = 113,359.50 × 113,359.50
  4. Step 4: Simplify right side
    88,286.06x = 12,850,376,240.25
  5. Step 5: Solve for x
    x = 12,850,376,240.25/88,286.06
  6. Step 6: Final answer
    x = 145,553.85

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.