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Finding the Third Proportional to 62,066 and 134,932

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Solution

The third proportional to 62,066 and 134,932 is: 293,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,066 : 134,932 = 134,932 : x
  2. Step 2: Convert to fraction form
    62,066/134,932 = 134,932/x
  3. Step 3: Cross multiply
    62,066x = 134,932 × 134,932
  4. Step 4: Simplify right side
    62,066x = 18,206,644,624
  5. Step 5: Solve for x
    x = 18,206,644,624/62,066
  6. Step 6: Final answer
    x = 293,343.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.