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Finding the Third Proportional to 57,767 and 125,011

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Solution

The third proportional to 57,767 and 125,011 is: 270,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,767 : 125,011 = 125,011 : x
  2. Step 2: Convert to fraction form
    57,767/125,011 = 125,011/x
  3. Step 3: Cross multiply
    57,767x = 125,011 × 125,011
  4. Step 4: Simplify right side
    57,767x = 15,627,750,121
  5. Step 5: Solve for x
    x = 15,627,750,121/57,767
  6. Step 6: Final answer
    x = 270,530.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.