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Finding the Third Proportional to 81,081 and 175,081.50

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Solution

The third proportional to 81,081 and 175,081.50 is: 378,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,081 : 175,081.50 = 175,081.50 : x
  2. Step 2: Convert to fraction form
    81,081/175,081.50 = 175,081.50/x
  3. Step 3: Cross multiply
    81,081x = 175,081.50 × 175,081.50
  4. Step 4: Simplify right side
    81,081x = 30,653,531,642.25
  5. Step 5: Solve for x
    x = 30,653,531,642.25/81,081
  6. Step 6: Final answer
    x = 378,060.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.