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Finding the Third Proportional to 85,590.75 and 190,851

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Solution

The third proportional to 85,590.75 and 190,851 is: 425,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,590.75 : 190,851 = 190,851 : x
  2. Step 2: Convert to fraction form
    85,590.75/190,851 = 190,851/x
  3. Step 3: Cross multiply
    85,590.75x = 190,851 × 190,851
  4. Step 4: Simplify right side
    85,590.75x = 36,424,104,201
  5. Step 5: Solve for x
    x = 36,424,104,201/85,590.75
  6. Step 6: Final answer
    x = 425,561.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.