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Finding the Third Proportional to 81,928.50 and 123,470.25

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Solution

The third proportional to 81,928.50 and 123,470.25 is: 186,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,928.50 : 123,470.25 = 123,470.25 : x
  2. Step 2: Convert to fraction form
    81,928.50/123,470.25 = 123,470.25/x
  3. Step 3: Cross multiply
    81,928.50x = 123,470.25 × 123,470.25
  4. Step 4: Simplify right side
    81,928.50x = 15,244,902,635.06
  5. Step 5: Solve for x
    x = 15,244,902,635.06/81,928.50
  6. Step 6: Final answer
    x = 186,075.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.