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Finding the Third Proportional to 92,996 and 119,406

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Solution

The third proportional to 92,996 and 119,406 is: 153,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,996 : 119,406 = 119,406 : x
  2. Step 2: Convert to fraction form
    92,996/119,406 = 119,406/x
  3. Step 3: Cross multiply
    92,996x = 119,406 × 119,406
  4. Step 4: Simplify right side
    92,996x = 14,257,792,836
  5. Step 5: Solve for x
    x = 14,257,792,836/92,996
  6. Step 6: Final answer
    x = 153,316.19

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.