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Finding the Third Proportional to 63,960 and 102,180

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Solution

The third proportional to 63,960 and 102,180 is: 163,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,960 : 102,180 = 102,180 : x
  2. Step 2: Convert to fraction form
    63,960/102,180 = 102,180/x
  3. Step 3: Cross multiply
    63,960x = 102,180 × 102,180
  4. Step 4: Simplify right side
    63,960x = 10,440,752,400
  5. Step 5: Solve for x
    x = 10,440,752,400/63,960
  6. Step 6: Final answer
    x = 163,238.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.