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Finding the Third Proportional to 81,465.75 and 117,984.09

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Solution

The third proportional to 81,465.75 and 117,984.09 is: 170,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.75 : 117,984.09 = 117,984.09 : x
  2. Step 2: Convert to fraction form
    81,465.75/117,984.09 = 117,984.09/x
  3. Step 3: Cross multiply
    81,465.75x = 117,984.09 × 117,984.09
  4. Step 4: Simplify right side
    81,465.75x = 13,920,246,378.01
  5. Step 5: Solve for x
    x = 13,920,246,378.01/81,465.75
  6. Step 6: Final answer
    x = 170,872.38

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.