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Finding the Third Proportional to 81,465.75 and 175,324.50

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Solution

The third proportional to 81,465.75 and 175,324.50 is: 377,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.75 : 175,324.50 = 175,324.50 : x
  2. Step 2: Convert to fraction form
    81,465.75/175,324.50 = 175,324.50/x
  3. Step 3: Cross multiply
    81,465.75x = 175,324.50 × 175,324.50
  4. Step 4: Simplify right side
    81,465.75x = 30,738,680,300.25
  5. Step 5: Solve for x
    x = 30,738,680,300.25/81,465.75
  6. Step 6: Final answer
    x = 377,320.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.