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Finding the Third Proportional to 67,174.25 and 146,629

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Solution

The third proportional to 67,174.25 and 146,629 is: 320,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,174.25 : 146,629 = 146,629 : x
  2. Step 2: Convert to fraction form
    67,174.25/146,629 = 146,629/x
  3. Step 3: Cross multiply
    67,174.25x = 146,629 × 146,629
  4. Step 4: Simplify right side
    67,174.25x = 21,500,063,641
  5. Step 5: Solve for x
    x = 21,500,063,641/67,174.25
  6. Step 6: Final answer
    x = 320,064.07

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