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Finding the Third Proportional to 75,975 and 175,888.50

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Solution

The third proportional to 75,975 and 175,888.50 is: 407,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,975 : 175,888.50 = 175,888.50 : x
  2. Step 2: Convert to fraction form
    75,975/175,888.50 = 175,888.50/x
  3. Step 3: Cross multiply
    75,975x = 175,888.50 × 175,888.50
  4. Step 4: Simplify right side
    75,975x = 30,936,764,432.25
  5. Step 5: Solve for x
    x = 30,936,764,432.25/75,975
  6. Step 6: Final answer
    x = 407,196.64

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Why These Related Problems?

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