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Finding the Third Proportional to 61,514.44 and 100,447.17

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Solution

The third proportional to 61,514.44 and 100,447.17 is: 164,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,514.44 : 100,447.17 = 100,447.17 : x
  2. Step 2: Convert to fraction form
    61,514.44/100,447.17 = 100,447.17/x
  3. Step 3: Cross multiply
    61,514.44x = 100,447.17 × 100,447.17
  4. Step 4: Simplify right side
    61,514.44x = 10,089,634,337.69
  5. Step 5: Solve for x
    x = 10,089,634,337.69/61,514.44
  6. Step 6: Final answer
    x = 164,020.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.