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Finding the Third Proportional to 42,003 and 90,693

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Solution

The third proportional to 42,003 and 90,693 is: 195,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,003 : 90,693 = 90,693 : x
  2. Step 2: Convert to fraction form
    42,003/90,693 = 90,693/x
  3. Step 3: Cross multiply
    42,003x = 90,693 × 90,693
  4. Step 4: Simplify right side
    42,003x = 8,225,220,249
  5. Step 5: Solve for x
    x = 8,225,220,249/42,003
  6. Step 6: Final answer
    x = 195,824.59

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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.