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Finding the Third Proportional to 67,548.94 and 146,989.69

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Solution

The third proportional to 67,548.94 and 146,989.69 is: 319,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,548.94 : 146,989.69 = 146,989.69 : x
  2. Step 2: Convert to fraction form
    67,548.94/146,989.69 = 146,989.69/x
  3. Step 3: Cross multiply
    67,548.94x = 146,989.69 × 146,989.69
  4. Step 4: Simplify right side
    67,548.94x = 21,605,968,231.35
  5. Step 5: Solve for x
    x = 21,605,968,231.35/67,548.94
  6. Step 6: Final answer
    x = 319,856.52

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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.