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Finding the Third Proportional to 63,968 and 89,040

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Solution

The third proportional to 63,968 and 89,040 is: 123,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,968 : 89,040 = 89,040 : x
  2. Step 2: Convert to fraction form
    63,968/89,040 = 89,040/x
  3. Step 3: Cross multiply
    63,968x = 89,040 × 89,040
  4. Step 4: Simplify right side
    63,968x = 7,928,121,600
  5. Step 5: Solve for x
    x = 7,928,121,600/63,968
  6. Step 6: Final answer
    x = 123,938.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.