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Finding the Third Proportional to 134,622 and 193,914

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Solution

The third proportional to 134,622 and 193,914 is: 279,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,622 : 193,914 = 193,914 : x
  2. Step 2: Convert to fraction form
    134,622/193,914 = 193,914/x
  3. Step 3: Cross multiply
    134,622x = 193,914 × 193,914
  4. Step 4: Simplify right side
    134,622x = 37,602,639,396
  5. Step 5: Solve for x
    x = 37,602,639,396/134,622
  6. Step 6: Final answer
    x = 279,320.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.