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Finding the Third Proportional to 42,919 and 89,761

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Solution

The third proportional to 42,919 and 89,761 is: 187,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,919 : 89,761 = 89,761 : x
  2. Step 2: Convert to fraction form
    42,919/89,761 = 89,761/x
  3. Step 3: Cross multiply
    42,919x = 89,761 × 89,761
  4. Step 4: Simplify right side
    42,919x = 8,057,037,121
  5. Step 5: Solve for x
    x = 8,057,037,121/42,919
  6. Step 6: Final answer
    x = 187,726.58

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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.