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Finding the Third Proportional to 75,314 and 110,667

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Solution

The third proportional to 75,314 and 110,667 is: 162,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314 : 110,667 = 110,667 : x
  2. Step 2: Convert to fraction form
    75,314/110,667 = 110,667/x
  3. Step 3: Cross multiply
    75,314x = 110,667 × 110,667
  4. Step 4: Simplify right side
    75,314x = 12,247,184,889
  5. Step 5: Solve for x
    x = 12,247,184,889/75,314
  6. Step 6: Final answer
    x = 162,614.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.