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Finding the Third Proportional to 44,160 and 93,936

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Solution

The third proportional to 44,160 and 93,936 is: 199,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,160 : 93,936 = 93,936 : x
  2. Step 2: Convert to fraction form
    44,160/93,936 = 93,936/x
  3. Step 3: Cross multiply
    44,160x = 93,936 × 93,936
  4. Step 4: Simplify right side
    44,160x = 8,823,972,096
  5. Step 5: Solve for x
    x = 8,823,972,096/44,160
  6. Step 6: Final answer
    x = 199,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.