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Finding the Third Proportional to 73,374.75 and 110,223

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Solution

The third proportional to 73,374.75 and 110,223 is: 165,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,374.75 : 110,223 = 110,223 : x
  2. Step 2: Convert to fraction form
    73,374.75/110,223 = 110,223/x
  3. Step 3: Cross multiply
    73,374.75x = 110,223 × 110,223
  4. Step 4: Simplify right side
    73,374.75x = 12,149,109,729
  5. Step 5: Solve for x
    x = 12,149,109,729/73,374.75
  6. Step 6: Final answer
    x = 165,576.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.