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Finding the Third Proportional to 133,754 and 315,725

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Solution

The third proportional to 133,754 and 315,725 is: 745,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,754 : 315,725 = 315,725 : x
  2. Step 2: Convert to fraction form
    133,754/315,725 = 315,725/x
  3. Step 3: Cross multiply
    133,754x = 315,725 × 315,725
  4. Step 4: Simplify right side
    133,754x = 99,682,275,625
  5. Step 5: Solve for x
    x = 99,682,275,625/133,754
  6. Step 6: Final answer
    x = 745,265.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.