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Finding the Third Proportional to 128,992 and 195,432

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Solution

The third proportional to 128,992 and 195,432 is: 296,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992 : 195,432 = 195,432 : x
  2. Step 2: Convert to fraction form
    128,992/195,432 = 195,432/x
  3. Step 3: Cross multiply
    128,992x = 195,432 × 195,432
  4. Step 4: Simplify right side
    128,992x = 38,193,666,624
  5. Step 5: Solve for x
    x = 38,193,666,624/128,992
  6. Step 6: Final answer
    x = 296,093.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.