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Finding the Third Proportional to 67,177.50 and 146,634.75

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Solution

The third proportional to 67,177.50 and 146,634.75 is: 320,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,177.50 : 146,634.75 = 146,634.75 : x
  2. Step 2: Convert to fraction form
    67,177.50/146,634.75 = 146,634.75/x
  3. Step 3: Cross multiply
    67,177.50x = 146,634.75 × 146,634.75
  4. Step 4: Simplify right side
    67,177.50x = 21,501,749,907.56
  5. Step 5: Solve for x
    x = 21,501,749,907.56/67,177.50
  6. Step 6: Final answer
    x = 320,073.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.