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Finding the Third Proportional to 83,982 and 128,414

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Solution

The third proportional to 83,982 and 128,414 is: 196,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982 : 128,414 = 128,414 : x
  2. Step 2: Convert to fraction form
    83,982/128,414 = 128,414/x
  3. Step 3: Cross multiply
    83,982x = 128,414 × 128,414
  4. Step 4: Simplify right side
    83,982x = 16,490,155,396
  5. Step 5: Solve for x
    x = 16,490,155,396/83,982
  6. Step 6: Final answer
    x = 196,353.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.