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Finding the Third Proportional to 103,652 and 215,092

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Solution

The third proportional to 103,652 and 215,092 is: 446,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652 : 215,092 = 215,092 : x
  2. Step 2: Convert to fraction form
    103,652/215,092 = 215,092/x
  3. Step 3: Cross multiply
    103,652x = 215,092 × 215,092
  4. Step 4: Simplify right side
    103,652x = 46,264,568,464
  5. Step 5: Solve for x
    x = 46,264,568,464/103,652
  6. Step 6: Final answer
    x = 446,345.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.