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Finding the Third Proportional to 73,365.75 and 111,588.75

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Solution

The third proportional to 73,365.75 and 111,588.75 is: 169,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,365.75 : 111,588.75 = 111,588.75 : x
  2. Step 2: Convert to fraction form
    73,365.75/111,588.75 = 111,588.75/x
  3. Step 3: Cross multiply
    73,365.75x = 111,588.75 × 111,588.75
  4. Step 4: Simplify right side
    73,365.75x = 12,452,049,126.56
  5. Step 5: Solve for x
    x = 12,452,049,126.56/73,365.75
  6. Step 6: Final answer
    x = 169,725.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.