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Finding the Third Proportional to 42,954 and 64,512

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Solution

The third proportional to 42,954 and 64,512 is: 96,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954 : 64,512 = 64,512 : x
  2. Step 2: Convert to fraction form
    42,954/64,512 = 64,512/x
  3. Step 3: Cross multiply
    42,954x = 64,512 × 64,512
  4. Step 4: Simplify right side
    42,954x = 4,161,798,144
  5. Step 5: Solve for x
    x = 4,161,798,144/42,954
  6. Step 6: Final answer
    x = 96,889.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.