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Finding the Third Proportional to 75,984.75 and 175,905.84

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Solution

The third proportional to 75,984.75 and 175,905.84 is: 407,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,984.75 : 175,905.84 = 175,905.84 : x
  2. Step 2: Convert to fraction form
    75,984.75/175,905.84 = 175,905.84/x
  3. Step 3: Cross multiply
    75,984.75x = 175,905.84 × 175,905.84
  4. Step 4: Simplify right side
    75,984.75x = 30,942,865,865.40
  5. Step 5: Solve for x
    x = 30,942,865,865.40/75,984.75
  6. Step 6: Final answer
    x = 407,224.68

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.