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Finding the Third Proportional to 81,114.75 and 175,911.75

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Solution

The third proportional to 81,114.75 and 175,911.75 is: 381,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,114.75 : 175,911.75 = 175,911.75 : x
  2. Step 2: Convert to fraction form
    81,114.75/175,911.75 = 175,911.75/x
  3. Step 3: Cross multiply
    81,114.75x = 175,911.75 × 175,911.75
  4. Step 4: Simplify right side
    81,114.75x = 30,944,943,788.06
  5. Step 5: Solve for x
    x = 30,944,943,788.06/81,114.75
  6. Step 6: Final answer
    x = 381,495.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.