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Finding the Third Proportional to 62,932 and 122,670

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Solution

The third proportional to 62,932 and 122,670 is: 239,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,932 : 122,670 = 122,670 : x
  2. Step 2: Convert to fraction form
    62,932/122,670 = 122,670/x
  3. Step 3: Cross multiply
    62,932x = 122,670 × 122,670
  4. Step 4: Simplify right side
    62,932x = 15,047,928,900
  5. Step 5: Solve for x
    x = 15,047,928,900/62,932
  6. Step 6: Final answer
    x = 239,114.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.