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Finding the Third Proportional to 42,933 and 89,785

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Solution

The third proportional to 42,933 and 89,785 is: 187,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,933 : 89,785 = 89,785 : x
  2. Step 2: Convert to fraction form
    42,933/89,785 = 89,785/x
  3. Step 3: Cross multiply
    42,933x = 89,785 × 89,785
  4. Step 4: Simplify right side
    42,933x = 8,061,346,225
  5. Step 5: Solve for x
    x = 8,061,346,225/42,933
  6. Step 6: Final answer
    x = 187,765.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.