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Finding the Third Proportional to 42,252.75 and 90,504

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Solution

The third proportional to 42,252.75 and 90,504 is: 193,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252.75 : 90,504 = 90,504 : x
  2. Step 2: Convert to fraction form
    42,252.75/90,504 = 90,504/x
  3. Step 3: Cross multiply
    42,252.75x = 90,504 × 90,504
  4. Step 4: Simplify right side
    42,252.75x = 8,190,974,016
  5. Step 5: Solve for x
    x = 8,190,974,016/42,252.75
  6. Step 6: Final answer
    x = 193,856.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.