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Finding the Third Proportional to 67,791.75 and 148,077.75

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Solution

The third proportional to 67,791.75 and 148,077.75 is: 323,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,791.75 : 148,077.75 = 148,077.75 : x
  2. Step 2: Convert to fraction form
    67,791.75/148,077.75 = 148,077.75/x
  3. Step 3: Cross multiply
    67,791.75x = 148,077.75 × 148,077.75
  4. Step 4: Simplify right side
    67,791.75x = 21,927,020,045.06
  5. Step 5: Solve for x
    x = 21,927,020,045.06/67,791.75
  6. Step 6: Final answer
    x = 323,446.73

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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.