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Finding the Third Proportional to 71,596 and 154,992

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Solution

The third proportional to 71,596 and 154,992 is: 335,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,596 : 154,992 = 154,992 : x
  2. Step 2: Convert to fraction form
    71,596/154,992 = 154,992/x
  3. Step 3: Cross multiply
    71,596x = 154,992 × 154,992
  4. Step 4: Simplify right side
    71,596x = 24,022,520,064
  5. Step 5: Solve for x
    x = 24,022,520,064/71,596
  6. Step 6: Final answer
    x = 335,528.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.