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Finding the Third Proportional to 67,980.75 and 148,059

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Solution

The third proportional to 67,980.75 and 148,059 is: 322,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980.75 : 148,059 = 148,059 : x
  2. Step 2: Convert to fraction form
    67,980.75/148,059 = 148,059/x
  3. Step 3: Cross multiply
    67,980.75x = 148,059 × 148,059
  4. Step 4: Simplify right side
    67,980.75x = 21,921,467,481
  5. Step 5: Solve for x
    x = 21,921,467,481/67,980.75
  6. Step 6: Final answer
    x = 322,465.81

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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.