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Finding the Third Proportional to 63,954 and 94,068

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Solution

The third proportional to 63,954 and 94,068 is: 138,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,954 : 94,068 = 94,068 : x
  2. Step 2: Convert to fraction form
    63,954/94,068 = 94,068/x
  3. Step 3: Cross multiply
    63,954x = 94,068 × 94,068
  4. Step 4: Simplify right side
    63,954x = 8,848,788,624
  5. Step 5: Solve for x
    x = 8,848,788,624/63,954
  6. Step 6: Final answer
    x = 138,361.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.