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Finding the Third Proportional to 41,987 and 92,272

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Solution

The third proportional to 41,987 and 92,272 is: 202,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987 : 92,272 = 92,272 : x
  2. Step 2: Convert to fraction form
    41,987/92,272 = 92,272/x
  3. Step 3: Cross multiply
    41,987x = 92,272 × 92,272
  4. Step 4: Simplify right side
    41,987x = 8,514,121,984
  5. Step 5: Solve for x
    x = 8,514,121,984/41,987
  6. Step 6: Final answer
    x = 202,779.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.