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Finding the Third Proportional to 83,138.06 and 127,926.84

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Solution

The third proportional to 83,138.06 and 127,926.84 is: 196,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.06 : 127,926.84 = 127,926.84 : x
  2. Step 2: Convert to fraction form
    83,138.06/127,926.84 = 127,926.84/x
  3. Step 3: Cross multiply
    83,138.06x = 127,926.84 × 127,926.84
  4. Step 4: Simplify right side
    83,138.06x = 16,365,277,351.84
  5. Step 5: Solve for x
    x = 16,365,277,351.84/83,138.06
  6. Step 6: Final answer
    x = 196,844.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.