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Finding the Third Proportional to 43,872 and 96,490

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Solution

The third proportional to 43,872 and 96,490 is: 212,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872 : 96,490 = 96,490 : x
  2. Step 2: Convert to fraction form
    43,872/96,490 = 96,490/x
  3. Step 3: Cross multiply
    43,872x = 96,490 × 96,490
  4. Step 4: Simplify right side
    43,872x = 9,310,320,100
  5. Step 5: Solve for x
    x = 9,310,320,100/43,872
  6. Step 6: Final answer
    x = 212,215.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.