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Finding the Third Proportional to 43,794 and 96,060

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Solution

The third proportional to 43,794 and 96,060 is: 210,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,794 : 96,060 = 96,060 : x
  2. Step 2: Convert to fraction form
    43,794/96,060 = 96,060/x
  3. Step 3: Cross multiply
    43,794x = 96,060 × 96,060
  4. Step 4: Simplify right side
    43,794x = 9,227,523,600
  5. Step 5: Solve for x
    x = 9,227,523,600/43,794
  6. Step 6: Final answer
    x = 210,702.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.