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Finding the Third Proportional to 84,794 and 124,662

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Solution

The third proportional to 84,794 and 124,662 is: 183,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,794 : 124,662 = 124,662 : x
  2. Step 2: Convert to fraction form
    84,794/124,662 = 124,662/x
  3. Step 3: Cross multiply
    84,794x = 124,662 × 124,662
  4. Step 4: Simplify right side
    84,794x = 15,540,614,244
  5. Step 5: Solve for x
    x = 15,540,614,244/84,794
  6. Step 6: Final answer
    x = 183,274.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.