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Finding the Third Proportional to 61,575.75 and 132,360.19

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Solution

The third proportional to 61,575.75 and 132,360.19 is: 284,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,575.75 : 132,360.19 = 132,360.19 : x
  2. Step 2: Convert to fraction form
    61,575.75/132,360.19 = 132,360.19/x
  3. Step 3: Cross multiply
    61,575.75x = 132,360.19 × 132,360.19
  4. Step 4: Simplify right side
    61,575.75x = 17,519,219,235.04
  5. Step 5: Solve for x
    x = 17,519,219,235.04/61,575.75
  6. Step 6: Final answer
    x = 284,514.91

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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.