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Finding the Third Proportional to 135,564 and 195,570

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Solution

The third proportional to 135,564 and 195,570 is: 282,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,564 : 195,570 = 195,570 : x
  2. Step 2: Convert to fraction form
    135,564/195,570 = 195,570/x
  3. Step 3: Cross multiply
    135,564x = 195,570 × 195,570
  4. Step 4: Simplify right side
    135,564x = 38,247,624,900
  5. Step 5: Solve for x
    x = 38,247,624,900/135,564
  6. Step 6: Final answer
    x = 282,137.03

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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.