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Finding the Third Proportional to 43,128 and 65,844

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Solution

The third proportional to 43,128 and 65,844 is: 100,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,128 : 65,844 = 65,844 : x
  2. Step 2: Convert to fraction form
    43,128/65,844 = 65,844/x
  3. Step 3: Cross multiply
    43,128x = 65,844 × 65,844
  4. Step 4: Simplify right side
    43,128x = 4,335,432,336
  5. Step 5: Solve for x
    x = 4,335,432,336/43,128
  6. Step 6: Final answer
    x = 100,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.