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Finding the Third Proportional to 42,004 and 90,785

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Solution

The third proportional to 42,004 and 90,785 is: 196,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,004 : 90,785 = 90,785 : x
  2. Step 2: Convert to fraction form
    42,004/90,785 = 90,785/x
  3. Step 3: Cross multiply
    42,004x = 90,785 × 90,785
  4. Step 4: Simplify right side
    42,004x = 8,241,916,225
  5. Step 5: Solve for x
    x = 8,241,916,225/42,004
  6. Step 6: Final answer
    x = 196,217.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.