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Finding the Third Proportional to 63,244 and 135,780

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Solution

The third proportional to 63,244 and 135,780 is: 291,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,244 : 135,780 = 135,780 : x
  2. Step 2: Convert to fraction form
    63,244/135,780 = 135,780/x
  3. Step 3: Cross multiply
    63,244x = 135,780 × 135,780
  4. Step 4: Simplify right side
    63,244x = 18,436,208,400
  5. Step 5: Solve for x
    x = 18,436,208,400/63,244
  6. Step 6: Final answer
    x = 291,509.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.