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Finding the Third Proportional to 61,651.13 and 132,514.31

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Solution

The third proportional to 61,651.13 and 132,514.31 is: 284,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,651.13 : 132,514.31 = 132,514.31 : x
  2. Step 2: Convert to fraction form
    61,651.13/132,514.31 = 132,514.31/x
  3. Step 3: Cross multiply
    61,651.13x = 132,514.31 × 132,514.31
  4. Step 4: Simplify right side
    61,651.13x = 17,560,043,017.35
  5. Step 5: Solve for x
    x = 17,560,043,017.35/61,651.13
  6. Step 6: Final answer
    x = 284,829.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.