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Finding the Third Proportional to 133,032 and 195,656

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Solution

The third proportional to 133,032 and 195,656 is: 287,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032 : 195,656 = 195,656 : x
  2. Step 2: Convert to fraction form
    133,032/195,656 = 195,656/x
  3. Step 3: Cross multiply
    133,032x = 195,656 × 195,656
  4. Step 4: Simplify right side
    133,032x = 38,281,270,336
  5. Step 5: Solve for x
    x = 38,281,270,336/133,032
  6. Step 6: Final answer
    x = 287,759.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.