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Finding the Third Proportional to 67,537.75 and 146,967.25

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Solution

The third proportional to 67,537.75 and 146,967.25 is: 319,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,537.75 : 146,967.25 = 146,967.25 : x
  2. Step 2: Convert to fraction form
    67,537.75/146,967.25 = 146,967.25/x
  3. Step 3: Cross multiply
    67,537.75x = 146,967.25 × 146,967.25
  4. Step 4: Simplify right side
    67,537.75x = 21,599,372,572.56
  5. Step 5: Solve for x
    x = 21,599,372,572.56/67,537.75
  6. Step 6: Final answer
    x = 319,811.85

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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.