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Finding the Third Proportional to 134,500 and 195,414

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Solution

The third proportional to 134,500 and 195,414 is: 283,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,500 : 195,414 = 195,414 : x
  2. Step 2: Convert to fraction form
    134,500/195,414 = 195,414/x
  3. Step 3: Cross multiply
    134,500x = 195,414 × 195,414
  4. Step 4: Simplify right side
    134,500x = 38,186,631,396
  5. Step 5: Solve for x
    x = 38,186,631,396/134,500
  6. Step 6: Final answer
    x = 283,915.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.