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Finding the Third Proportional to 81,661.50 and 110,826

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Solution

The third proportional to 81,661.50 and 110,826 is: 150,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.50 : 110,826 = 110,826 : x
  2. Step 2: Convert to fraction form
    81,661.50/110,826 = 110,826/x
  3. Step 3: Cross multiply
    81,661.50x = 110,826 × 110,826
  4. Step 4: Simplify right side
    81,661.50x = 12,282,402,276
  5. Step 5: Solve for x
    x = 12,282,402,276/81,661.50
  6. Step 6: Final answer
    x = 150,406.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.