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Finding the Third Proportional to 40,440 and 87,456

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Solution

The third proportional to 40,440 and 87,456 is: 189,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,440 : 87,456 = 87,456 : x
  2. Step 2: Convert to fraction form
    40,440/87,456 = 87,456/x
  3. Step 3: Cross multiply
    40,440x = 87,456 × 87,456
  4. Step 4: Simplify right side
    40,440x = 7,648,551,936
  5. Step 5: Solve for x
    x = 7,648,551,936/40,440
  6. Step 6: Final answer
    x = 189,133.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.