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Finding the Third Proportional to 63,960 and 96,833

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Solution

The third proportional to 63,960 and 96,833 is: 146,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,960 : 96,833 = 96,833 : x
  2. Step 2: Convert to fraction form
    63,960/96,833 = 96,833/x
  3. Step 3: Cross multiply
    63,960x = 96,833 × 96,833
  4. Step 4: Simplify right side
    63,960x = 9,376,629,889
  5. Step 5: Solve for x
    x = 9,376,629,889/63,960
  6. Step 6: Final answer
    x = 146,601.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.