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Finding the Third Proportional to 134,012 and 182,000

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Solution

The third proportional to 134,012 and 182,000 is: 247,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,012 : 182,000 = 182,000 : x
  2. Step 2: Convert to fraction form
    134,012/182,000 = 182,000/x
  3. Step 3: Cross multiply
    134,012x = 182,000 × 182,000
  4. Step 4: Simplify right side
    134,012x = 33,124,000,000
  5. Step 5: Solve for x
    x = 33,124,000,000/134,012
  6. Step 6: Final answer
    x = 247,171.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.