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Finding the Third Proportional to 63,570 and 125,544

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Solution

The third proportional to 63,570 and 125,544 is: 247,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,570 : 125,544 = 125,544 : x
  2. Step 2: Convert to fraction form
    63,570/125,544 = 125,544/x
  3. Step 3: Cross multiply
    63,570x = 125,544 × 125,544
  4. Step 4: Simplify right side
    63,570x = 15,761,295,936
  5. Step 5: Solve for x
    x = 15,761,295,936/63,570
  6. Step 6: Final answer
    x = 247,936.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.