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Finding the Third Proportional to 74,270.25 and 175,149

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Solution

The third proportional to 74,270.25 and 175,149 is: 413,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,270.25 : 175,149 = 175,149 : x
  2. Step 2: Convert to fraction form
    74,270.25/175,149 = 175,149/x
  3. Step 3: Cross multiply
    74,270.25x = 175,149 × 175,149
  4. Step 4: Simplify right side
    74,270.25x = 30,677,172,201
  5. Step 5: Solve for x
    x = 30,677,172,201/74,270.25
  6. Step 6: Final answer
    x = 413,047.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.