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Finding the Third Proportional to 34,545 and 73,990

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Solution

The third proportional to 34,545 and 73,990 is: 158,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,545 : 73,990 = 73,990 : x
  2. Step 2: Convert to fraction form
    34,545/73,990 = 73,990/x
  3. Step 3: Cross multiply
    34,545x = 73,990 × 73,990
  4. Step 4: Simplify right side
    34,545x = 5,474,520,100
  5. Step 5: Solve for x
    x = 5,474,520,100/34,545
  6. Step 6: Final answer
    x = 158,475.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.