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Finding the Third Proportional to 65,072 and 88,390

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Solution

The third proportional to 65,072 and 88,390 is: 120,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072 : 88,390 = 88,390 : x
  2. Step 2: Convert to fraction form
    65,072/88,390 = 88,390/x
  3. Step 3: Cross multiply
    65,072x = 88,390 × 88,390
  4. Step 4: Simplify right side
    65,072x = 7,812,792,100
  5. Step 5: Solve for x
    x = 7,812,792,100/65,072
  6. Step 6: Final answer
    x = 120,063.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.