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Finding the Third Proportional to 65,056 and 95,104

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Solution

The third proportional to 65,056 and 95,104 is: 139,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056 : 95,104 = 95,104 : x
  2. Step 2: Convert to fraction form
    65,056/95,104 = 95,104/x
  3. Step 3: Cross multiply
    65,056x = 95,104 × 95,104
  4. Step 4: Simplify right side
    65,056x = 9,044,770,816
  5. Step 5: Solve for x
    x = 9,044,770,816/65,056
  6. Step 6: Final answer
    x = 139,030.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.