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Finding the Third Proportional to 114,942 and 179,400

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Solution

The third proportional to 114,942 and 179,400 is: 280,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,942 : 179,400 = 179,400 : x
  2. Step 2: Convert to fraction form
    114,942/179,400 = 179,400/x
  3. Step 3: Cross multiply
    114,942x = 179,400 × 179,400
  4. Step 4: Simplify right side
    114,942x = 32,184,360,000
  5. Step 5: Solve for x
    x = 32,184,360,000/114,942
  6. Step 6: Final answer
    x = 280,005.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.