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Finding the Third Proportional to 73,622 and 114,645

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Solution

The third proportional to 73,622 and 114,645 is: 178,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,622 : 114,645 = 114,645 : x
  2. Step 2: Convert to fraction form
    73,622/114,645 = 114,645/x
  3. Step 3: Cross multiply
    73,622x = 114,645 × 114,645
  4. Step 4: Simplify right side
    73,622x = 13,143,476,025
  5. Step 5: Solve for x
    x = 13,143,476,025/73,622
  6. Step 6: Final answer
    x = 178,526.47

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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.