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Finding the Third Proportional to 83,286.35 and 134,127.46

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Solution

The third proportional to 83,286.35 and 134,127.46 is: 216,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286.35 : 134,127.46 = 134,127.46 : x
  2. Step 2: Convert to fraction form
    83,286.35/134,127.46 = 134,127.46/x
  3. Step 3: Cross multiply
    83,286.35x = 134,127.46 × 134,127.46
  4. Step 4: Simplify right side
    83,286.35x = 17,990,174,729.67
  5. Step 5: Solve for x
    x = 17,990,174,729.67/83,286.35
  6. Step 6: Final answer
    x = 216,003.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.