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Finding the Third Proportional to 57,765 and 124,125

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Solution

The third proportional to 57,765 and 124,125 is: 266,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765 : 124,125 = 124,125 : x
  2. Step 2: Convert to fraction form
    57,765/124,125 = 124,125/x
  3. Step 3: Cross multiply
    57,765x = 124,125 × 124,125
  4. Step 4: Simplify right side
    57,765x = 15,407,015,625
  5. Step 5: Solve for x
    x = 15,407,015,625/57,765
  6. Step 6: Final answer
    x = 266,718.87

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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.