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Finding the Third Proportional to 84,698.44 and 116,139.38

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Solution

The third proportional to 84,698.44 and 116,139.38 is: 159,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,698.44 : 116,139.38 = 116,139.38 : x
  2. Step 2: Convert to fraction form
    84,698.44/116,139.38 = 116,139.38/x
  3. Step 3: Cross multiply
    84,698.44x = 116,139.38 × 116,139.38
  4. Step 4: Simplify right side
    84,698.44x = 13,488,354,425.39
  5. Step 5: Solve for x
    x = 13,488,354,425.39/84,698.44
  6. Step 6: Final answer
    x = 159,251.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.