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Finding the Third Proportional to 42,954 and 61,868

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Solution

The third proportional to 42,954 and 61,868 is: 89,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954 : 61,868 = 61,868 : x
  2. Step 2: Convert to fraction form
    42,954/61,868 = 61,868/x
  3. Step 3: Cross multiply
    42,954x = 61,868 × 61,868
  4. Step 4: Simplify right side
    42,954x = 3,827,649,424
  5. Step 5: Solve for x
    x = 3,827,649,424/42,954
  6. Step 6: Final answer
    x = 89,110.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.