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Finding the Third Proportional to 63,512 and 94,954

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Solution

The third proportional to 63,512 and 94,954 is: 141,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,512 : 94,954 = 94,954 : x
  2. Step 2: Convert to fraction form
    63,512/94,954 = 94,954/x
  3. Step 3: Cross multiply
    63,512x = 94,954 × 94,954
  4. Step 4: Simplify right side
    63,512x = 9,016,262,116
  5. Step 5: Solve for x
    x = 9,016,262,116/63,512
  6. Step 6: Final answer
    x = 141,961.55

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Why These Related Problems?

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