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Finding the Third Proportional to 61,932 and 132,612

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Solution

The third proportional to 61,932 and 132,612 is: 283,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,932 : 132,612 = 132,612 : x
  2. Step 2: Convert to fraction form
    61,932/132,612 = 132,612/x
  3. Step 3: Cross multiply
    61,932x = 132,612 × 132,612
  4. Step 4: Simplify right side
    61,932x = 17,585,942,544
  5. Step 5: Solve for x
    x = 17,585,942,544/61,932
  6. Step 6: Final answer
    x = 283,955.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.