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Finding the Third Proportional to 63,144 and 134,694

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Solution

The third proportional to 63,144 and 134,694 is: 287,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,144 : 134,694 = 134,694 : x
  2. Step 2: Convert to fraction form
    63,144/134,694 = 134,694/x
  3. Step 3: Cross multiply
    63,144x = 134,694 × 134,694
  4. Step 4: Simplify right side
    63,144x = 18,142,473,636
  5. Step 5: Solve for x
    x = 18,142,473,636/63,144
  6. Step 6: Final answer
    x = 287,319.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.