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Finding the Third Proportional to 67,792 and 102,564

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Solution

The third proportional to 67,792 and 102,564 is: 155,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,792 : 102,564 = 102,564 : x
  2. Step 2: Convert to fraction form
    67,792/102,564 = 102,564/x
  3. Step 3: Cross multiply
    67,792x = 102,564 × 102,564
  4. Step 4: Simplify right side
    67,792x = 10,519,374,096
  5. Step 5: Solve for x
    x = 10,519,374,096/67,792
  6. Step 6: Final answer
    x = 155,171.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.