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Finding the Third Proportional to 75,150 and 174,735

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Solution

The third proportional to 75,150 and 174,735 is: 406,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150 : 174,735 = 174,735 : x
  2. Step 2: Convert to fraction form
    75,150/174,735 = 174,735/x
  3. Step 3: Cross multiply
    75,150x = 174,735 × 174,735
  4. Step 4: Simplify right side
    75,150x = 30,532,320,225
  5. Step 5: Solve for x
    x = 30,532,320,225/75,150
  6. Step 6: Final answer
    x = 406,285.03

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.