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Finding the Third Proportional to 57,822 and 124,932

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Solution

The third proportional to 57,822 and 124,932 is: 269,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,822 : 124,932 = 124,932 : x
  2. Step 2: Convert to fraction form
    57,822/124,932 = 124,932/x
  3. Step 3: Cross multiply
    57,822x = 124,932 × 124,932
  4. Step 4: Simplify right side
    57,822x = 15,608,004,624
  5. Step 5: Solve for x
    x = 15,608,004,624/57,822
  6. Step 6: Final answer
    x = 269,931.94

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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.