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Finding the Third Proportional to 73,789.50 and 173,235

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Solution

The third proportional to 73,789.50 and 173,235 is: 406,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,789.50 : 173,235 = 173,235 : x
  2. Step 2: Convert to fraction form
    73,789.50/173,235 = 173,235/x
  3. Step 3: Cross multiply
    73,789.50x = 173,235 × 173,235
  4. Step 4: Simplify right side
    73,789.50x = 30,010,365,225
  5. Step 5: Solve for x
    x = 30,010,365,225/73,789.50
  6. Step 6: Final answer
    x = 406,702.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.