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Finding the Third Proportional to 84,096 and 126,495

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Solution

The third proportional to 84,096 and 126,495 is: 190,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096 : 126,495 = 126,495 : x
  2. Step 2: Convert to fraction form
    84,096/126,495 = 126,495/x
  3. Step 3: Cross multiply
    84,096x = 126,495 × 126,495
  4. Step 4: Simplify right side
    84,096x = 16,000,985,025
  5. Step 5: Solve for x
    x = 16,000,985,025/84,096
  6. Step 6: Final answer
    x = 190,270.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.