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Finding the Third Proportional to 65,882 and 96,015

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Solution

The third proportional to 65,882 and 96,015 is: 139,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882 : 96,015 = 96,015 : x
  2. Step 2: Convert to fraction form
    65,882/96,015 = 96,015/x
  3. Step 3: Cross multiply
    65,882x = 96,015 × 96,015
  4. Step 4: Simplify right side
    65,882x = 9,218,880,225
  5. Step 5: Solve for x
    x = 9,218,880,225/65,882
  6. Step 6: Final answer
    x = 139,930.18

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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.