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Finding the Third Proportional to 128,981 and 195,419

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Solution

The third proportional to 128,981 and 195,419 is: 296,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,981 : 195,419 = 195,419 : x
  2. Step 2: Convert to fraction form
    128,981/195,419 = 195,419/x
  3. Step 3: Cross multiply
    128,981x = 195,419 × 195,419
  4. Step 4: Simplify right side
    128,981x = 38,188,585,561
  5. Step 5: Solve for x
    x = 38,188,585,561/128,981
  6. Step 6: Final answer
    x = 296,079.16

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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.