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Finding the Third Proportional to 67,133.25 and 146,250

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Solution

The third proportional to 67,133.25 and 146,250 is: 318,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,133.25 : 146,250 = 146,250 : x
  2. Step 2: Convert to fraction form
    67,133.25/146,250 = 146,250/x
  3. Step 3: Cross multiply
    67,133.25x = 146,250 × 146,250
  4. Step 4: Simplify right side
    67,133.25x = 21,389,062,500
  5. Step 5: Solve for x
    x = 21,389,062,500/67,133.25
  6. Step 6: Final answer
    x = 318,606.09

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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.