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Finding the Third Proportional to 132,012 and 204,511

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Solution

The third proportional to 132,012 and 204,511 is: 316,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,012 : 204,511 = 204,511 : x
  2. Step 2: Convert to fraction form
    132,012/204,511 = 204,511/x
  3. Step 3: Cross multiply
    132,012x = 204,511 × 204,511
  4. Step 4: Simplify right side
    132,012x = 41,824,749,121
  5. Step 5: Solve for x
    x = 41,824,749,121/132,012
  6. Step 6: Final answer
    x = 316,825.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.