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Finding the Third Proportional to 132,562 and 204,802

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Solution

The third proportional to 132,562 and 204,802 is: 316,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,562 : 204,802 = 204,802 : x
  2. Step 2: Convert to fraction form
    132,562/204,802 = 204,802/x
  3. Step 3: Cross multiply
    132,562x = 204,802 × 204,802
  4. Step 4: Simplify right side
    132,562x = 41,943,859,204
  5. Step 5: Solve for x
    x = 41,943,859,204/132,562
  6. Step 6: Final answer
    x = 316,409.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.