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Finding the Third Proportional to 42,170.63 and 90,593.44

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Solution

The third proportional to 42,170.63 and 90,593.44 is: 194,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,170.63 : 90,593.44 = 90,593.44 : x
  2. Step 2: Convert to fraction form
    42,170.63/90,593.44 = 90,593.44/x
  3. Step 3: Cross multiply
    42,170.63x = 90,593.44 × 90,593.44
  4. Step 4: Simplify right side
    42,170.63x = 8,207,170,918.07
  5. Step 5: Solve for x
    x = 8,207,170,918.07/42,170.63
  6. Step 6: Final answer
    x = 194,618.19

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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.