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Finding the Third Proportional to 81,867.63 and 123,105.50

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Solution

The third proportional to 81,867.63 and 123,105.50 is: 185,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,867.63 : 123,105.50 = 123,105.50 : x
  2. Step 2: Convert to fraction form
    81,867.63/123,105.50 = 123,105.50/x
  3. Step 3: Cross multiply
    81,867.63x = 123,105.50 × 123,105.50
  4. Step 4: Simplify right side
    81,867.63x = 15,154,964,130.25
  5. Step 5: Solve for x
    x = 15,154,964,130.25/81,867.63
  6. Step 6: Final answer
    x = 185,115.47

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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.